Relevant bibliographies by topics / Non-compact problems

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  1. Journal articles
  2. Dissertations / Theses
  3. Book chapters
  4. Conference papers

Academic literature on the topic 'Non-compact problems'

Author: Grafiati
Published: 14 March 2023

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Journal articles on the topic "Non-compact problems"

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Ellis, John, K. Enqvist, and D. V. Nanopoulos. "Non-compact supergravity solves problems." Physics Letters B 151, no. 5-6 (February 1985): 357–62. http://dx.doi.org/10.1016/0370-2693(85)91654-5.

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Cavalier, L. "Inverse problems with non-compact operators." Journal of Statistical Planning and Inference 136, no. 2 (February 2006): 390–400. http://dx.doi.org/10.1016/j.jspi.2004.06.063.

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Hofmann, Bernd, and G. Fleischer. "Stability Rates for Linear Ill-Posed Problems with Compact and Non-Compact Operators." Zeitschrift für Analysis und ihre Anwendungen 18, no. 2 (1999): 267–86. http://dx.doi.org/10.4171/zaa/881.

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Gajic, Ljiljana. "On some optimization problems in not necessarily locally convex space." Yugoslav Journal of Operations Research 18, no. 2 (2008): 167–72. http://dx.doi.org/10.2298/yjor0802167g.

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In this note, by using O. Hadzic's generalization of a fixed point theorem of Himmelberg, we prove a non - cooperative equilibrium existence theorem in non - compact settings and a generalization of an existence theorem for non - compact infinite optimization problems, all in not necessarily locally convex spaces.
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Aussel, Didier, and Asrifa Sultana. "Quasi-variational inequality problems with non-compact valued constraint maps." Journal of Mathematical Analysis and Applications 456, no. 2 (December 2017): 1482–94. http://dx.doi.org/10.1016/j.jmaa.2017.06.034.

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O'Regan, Donal. "Boundary value problems on noncompact intervals." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 125, no. 4 (1995): 777–99. http://dx.doi.org/10.1017/s0308210500030341.

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Molica Bisci, Giovanni, and Simone Secchi. "Elliptic problems on complete non-compact Riemannian manifolds with asymptotically non-negative Ricci curvature." Nonlinear Analysis 177 (December 2018): 637–72. http://dx.doi.org/10.1016/j.na.2018.04.019.

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Singh, Vishal, Hossain Chizari, and Farzad Ismail. "Non-unified Compact Residual-Distribution Methods for Scalar Advection–Diffusion Problems." Journal of Scientific Computing 76, no. 3 (March 5, 2018): 1521–46. http://dx.doi.org/10.1007/s10915-018-0674-1.

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Rahaman, Mijanur, and Rais Ahmad. "Weak and strong mixed vector equilibrium problems on non-compact domain." Journal of the Egyptian Mathematical Society 23, no. 2 (July 2015): 352–55. http://dx.doi.org/10.1016/j.joems.2014.06.007.

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Fieseler, K. H., and K. Tintarev. "Semilinear elliptic problems and concentration compactness on non-compact Riemannian manifolds." Journal of Geometric Analysis 13, no. 1 (March 2003): 67–75. http://dx.doi.org/10.1007/bf02930997.

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Dissertations / Theses on the topic "Non-compact problems"

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Secchi, Simone. "Nonlinear Differential Equations on Non-Compact Domains." Doctoral thesis, SISSA, 2002. http://hdl.handle.net/20.500.11767/4312.

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Kapanadze, David, and Bert-Wolfgang Schulze. "Boundary value problems on manifolds with exits to infinity." Universität Potsdam, 2000. http://opus.kobv.de/ubp/volltexte/2008/2572/.

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We construct a new calculus of boundary value problems with the transmission property on a non-compact smooth manifold with boundary and conical exits to infinity. The symbols are classical both in covariables and variables. The operators are determined by principal symbol tuples modulo operators of lower orders and weights (such remainders are compact in weighted Sobolev spaces). We develop the concept of ellipticity, construct parametrices within the algebra and obtain the Fredholm property. For the existence of Shapiro-Lopatinskij elliptic boundary conditions to a given elliptic operator we prove an analogue of the Atiyah-Bott condition.
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Sauvy, Paul. "Étude de quelques problèmes elliptiques et paraboliques quasi-linéaires avec singularités." Thesis, Pau, 2012. http://www.theses.fr/2012PAUU3020/document.

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Cette thèse s’inscrit dans le domaine mathématique de l’analyse des équations aux dérivées partielles non-linéaires. Plus précisément, nous avons fait ici l’étude de problèmes quasi-linéaires singuliers. Le terme "singulier" fait référence à l’intervention d’une non-linéarité qui explose au bord du domaine où ’équation est posée. La présence d’une telle singularité entraîne un manque de régularité et donc de compacité des solutions qui ne nous permet pas d’appliquer directement les méthodes classiques de l’analyse non-linéaire pour démontrer l’existence de solutions et discuter des propriétés de régularité et de comportement asymptotique de ces solutions. Pour contourner cette difficulté, nous sommes amenés à établir des estimations a priori très fines au voisinage du bord du domaine en combinant diverses méthodes : méthodes de monotonie (reliée au principe du maximum), méthodes variationnelles, argument de convexité, méthodes de point fixe et semi-discrétisation en temps. A travers, l’étude de trois problèmes-modèle faisant intervenir l’opérateur p-Laplacien, nous avons montré comment ces différentes méthodes pouvaient être mises en œuvre. Les résultats que nous avons obtenus sont décrits dans les trois chapitres de cette thèse : Dans le Chapitre I, nous avons étudié un problème d’absorption elliptique singulier. En utilisant des méthodes de sur- et sous solutions et des méthodes variationnelles, nous établissons des résultats d’existence de solutions. Par des méthodes de comparaison locale, nous démontrons également la propriété de support compact de ces solutions, pour de fortes singularités. Dans le Chapitre II, nous étudions le cas d’un système d’équations quasi-linéaires singulières. Par des arguments de point fixe et de monotonie, nous démontrons deux résultats généraux d’existence de solutions. Dans un deuxième temps, nous faisons une analyse plus détaillée de systèmes du type Gierer-Meinhardt modélisant des phénomènes biologiques. Des résultats d’unicité ainsi que des estimations précises sur le comportement des solutions sont alors obtenus. Dans le Chapitre III, nous faisons l’étude d’un problème d’absorption, parabolique singulier. Nous établissons par une méthode de semi-discrétisation en temps des résultats d’existence de solutions. Grâce à des inégalités d’énergie, nous démontrons également l’extinction en temps fini de ces solutions
This thesis deals with the mathematical field of nonlinear partial differential equations analysis. More precisely, we focus on quasilinear and singular problems. By singularity, we mean that the problems that we have considered involve a nonlinearity in the equation which blows-up near the boundary. This singular pattern gives rise to a lack of regularity and compactness that prevent the straightforward applications of classical methods in nonlinear analysis used for proving existence of solutions and for establishing the regularity properties and the asymptotic behavior of the solutions. To overcome this difficulty, we establish estimations on the precise behavior of the solutions near the boundary combining several techniques : monotonicity method (related to the maximum principle), variational method, convexity arguments, fixed point methods and semi-discretization in time. Throughout the study of three problems involving the p-Laplacian operator, we show how to apply this different methods. The three chapters of this dissertation the describes results we get :– In Chapter I, we study a singular elliptic absorption problem. By using sub- and super-solutions and variational methods, we prove the existence of the solutions. In the case of a strong singularity, by using local comparison techniques, we also prove that the compact support of the solution. In Chapter II, we study a singular elliptic system. By using fixed point and monotonicity arguments, we establish two general theorems on the existence of solution. In a second time, we more precisely analyse the Gierer-Meinhardt systems which model some biological phenomena. We prove some results about the uniqueness and the precise behavior of the solutions. In Chapter III, we study a singular parabolic absorption problem. By using a semi-discretization in time method, we establish the existence of a solution. Moreover, by using differential energy inequalities, we prove that the solution vanishes in finite time. This phenomenon is called "quenching"
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Wang, Simeng. "Some problems in harmonic analysis on quantum groups." Thesis, Besançon, 2016. http://www.theses.fr/2016BESA2062/document.

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Cette thèse étudie quelques problèmes d’analyse harmonique sur les groupes quantiques compacts. Elle consiste en trois parties. La première partie présente la théorie Lp élémentaire des transformées de Fourier, les convolutions et les multiplicateurs sur les groupes quantiques compacts, y compris la théorie de Hausdorff-Young et les inégalités de Young.Dans la seconde partie, nous caractérisons les opérateurs de convolution positifs sur un groupe quantique fini qui envoient Lp dans L2, et donnons aussi quelques constructions sur les groupes quantiques compacts infinis. La méthode pour étudier les états non-dégénérés fournit une formule générale pour calculer les états idempotents associés aux images deHopf, qui généralise un travail de Banica, Franz et Skalski. La troisième partie est consacrée à l’étude des ensembles de Sidon, des ensembles _(p) et des notions associées pour les groupes quantiques compacts. Nous établissons différentes caractérisations des ensembles de Sidon, et en particulier nous démontrons que tout ensemble de Sidon est un ensemble de Sidon fort au sens de Picardello. Nous donnons quelques liens entre les ensembles de Sidon, les ensembles _(p) et les lacunarités pour les multiplicateurs de Fourier sur Lp, généralisant un travail de Blendek et Michali˘cek. Nous démontrons aussi l’existence des ensembles de type _(p) pour les systèmes orthogonaux dans les espaces Lp non commutatifs, et déduisons les propriétés correspondantes pour les groupes quantiques compacts. Nous considérons aussi les ensembles de Sidon centraux, et nous prouvons que les groupes quantiques compacts ayant les mêmes règles de fusion et les mêmes fonctions de dimension ont des ensemble de Sidon centraux identiques. Quelques exemples sont aussi étudiés dans cette thèse. Les travaux présentés dans cette thèse se basent sur deux articles de l’auteur. Le premier s’intitule “Lp-improving convolution operators on finite quantum groups” et a été accepté pour publication dans Indiana University Mathematics Journal, et le deuxième est un travail intitulé “Lacunary Fourier series for compact quantum groups” et a été publié en ligne dans Communications in Mathematical Physics
This thesis studies some problems in the theory of harmonic analysis on compact quantum groups. It consists of three parts. The first part presents some elementary Lp theory of Fourier transforms, convolutions and multipliers on compact quantum groups, including the Hausdorff-Young theory and Young’s inequalities. In the second part, we characterize positive convolution operators on a finite quantum group G which are Lp-improving, and also give some constructions on infinite compact quantum groups. The methods for ondegeneratestates yield a general formula for computing idempotent states associated to Hopf images, which generalizes earlier work of Banica, Franz and Skalski. The third part is devoted to the study of Sidon sets, _(p)-sets and some related notions for compact quantum groups. We establish several different characterizations of Sidon sets, and in particular prove that any Sidon set in a discrete group is a strong Sidon set in the sense of Picardello. We give several relations between Sidon sets, _(p)-sets and lacunarities for Lp-Fourier multipliers, generalizing a previous work by Blendek and Michali˘cek. We also prove the existence of _(p)-sets for orthogonal systems in noncommutative Lp-spaces, and deduce the corresponding properties for compact quantum groups. Central Sidon sets are also discussed, and it turns out that the compact quantum groups with the same fusion rules and the same dimension functions have identical central Sidon sets. Several examples are also included. The thesis is principally based on two works by the author, entitled “Lp-improvingconvolution operators on finite quantum groups” and “Lacunary Fourier series for compact quantum groups”, which have been accepted for publication in Indiana University Mathematics Journal and Communications in Mathematical Physics respectively
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CARAFFA, BERNARD Daniela. "Equations aux dérivées partielles elliptiques du quatrième ordre avec exposants critiques de Sobolev sur les variétés riemanniennes avec et sans bord." Phd thesis, Université Pierre et Marie Curie - Paris VI, 2003. http://tel.archives-ouvertes.fr/tel-00003179.

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L'objet de cette thèse est l'étude, sur les variétés riemanniennes compactes $(V_n,g)$ de dimension $n>4$, de l'équation aux dérivées partielles elliptique de quatrième ordre $$(E)\; \Delta^2u+\nabla [a(x)\nabla u] +h(x)u= f(x)|u|^(N-2)u$$ où $a$, $h$, $f$ sont fonction $C^\infty $, avec $f(x)$ fonction constante ou partout positive et $N=(2n\over((n-4)))$ est l'exposant critique. En utilisant la méthode variationnelle on prouve dans le théorème principal que l'équation $(E)$ admet une solution $C^((5,\alpha))(V)$ $0<\alpha<1$ non nulle si une certaine condition qui dépend de la meilleure constante dans les inclusion de Sobolev ($H_2\subset L_(2n\over(n-4))$) est satisfaite. De plus on montre que si $a$ et $h$ sont des fonctions constantes bien précisées la solution de l'équation est positive et $C^\infty(V)$. Lorsque $n\geq 6$, on donne aussi des applications du théorème principal. Dans la dernière partie de cette thèse sur une variété riemannienne compacte à bord de dimension $n$, $(\overline(W)_n,g )$ nous nous intéressons au problème : $$ (P_N) \; \left\lbrace \begin(array)(c) \Delta^2 v+\nabla [a(x)\nabla u] +h(x) v= f(x)|v |^(N-2)v \; \hbox(sur)\; W \\ \Delta v =\delta \, , \, v = \eta \;\hbox(sur) \;\partial W \end(array)\right.$$ avec $\delta$,$\eta$,$f$ fonctions $C^\infty (\overline (W))$ avec $f(x)$ fonction partout positive et on démontre l'existence d'une solution non triviale pour le problème $(P_N)$.
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Santos, Dionicio Pastor Dallos. "Resultados de existência para alguns problemas não lineares com valores na fronteira de equações diferenciais." Universidade de São Paulo, 2017. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-05122017-131906/.

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O principal objetivo deste trabalho é estudar a existência de soluções para alguns problemas de valores de contorno de equações diferenciais ordinárias não lineares em dimensão finita e infinita. Todos os sistemas considerados nesta investigação são transformados em equações funcionais nas quais o objetivo é encontrar um ponto fixo de um oportuno operador definido em um espaço de funções (que depende do problema estudado). Para isso, faremos uso do grau de Leray-Schauder e de um conceito de grau topológico, devido a R. Nussbaum, para perturbações não compactas da identidade em espaços de Banach.
The main purpose of this work is to study the existence of solutions to some boundary value problems for nonlinear ordinary differential equations in finite and infinite dimension. All systems considered in this research are transformed into functional equations in which the objective is to find a fixed point of a suitable operator defined in a space of functions (which depends on the studied problem). To do this, we use the Leray-Schauder degree and a concept of topological degree due to R. Nussbaum for non-compact perturbations of identity in Banach spaces.
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Hassani, Ali. "ÉQUATION DES ONDES SUR LES ESPACES SYMÉTRIQUES RIEMANNIENS DE TYPE NON COMPACT." Phd thesis, Université de Nanterre - Paris X, 2011. http://tel.archives-ouvertes.fr/tel-00669082.

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Ce mémoire porte sur l'étude des équations d'évolution sur des variétés à coubure non nulle, plus particulièrement l'équation des ondes sur les espaces symétriques riemanniens de type non compact. Des propriétés de dispersion des solutions du problème de Cauchy homogène sont démontrées. Ces propriétés sont ensuite utilisées pour établir des estimations dites estimations de Strichartz. L'examen de ces estimées permet de déduire que le problème de Cauchy non linéaire avec des non-linéarités de type puissance est globalement bien posé pour des données initiales petites et localement bien posé pour des données arbitraires. Après un chapitre introductif dédié aux définitions, propriétés algébriques et géométriques des espaces symétriques et à quelques aspects élémentaires d'analyse harmonique sphérique sur ces espaces, un article est présenté : Wave equation on Riemannian symmetric spaces. Cet article contient nos résultats principaux. Dans le dernier chapitre nous présentons en détail deux problèmes ouverts qui prolongent nos travaux. Il s'agit respectivement d'établir le lien entre le comportement asymptotique des estimées et les orbites nilpotentes, et l'étude de l'équation des ondes pour les formes différentielles sur les espaces symétriques.
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Yoerger, Edward J. Jr. "Vertical Acoustic Propagation in the Non-Homogeneous Layered Atmosphere for a Time-Harmonic, Compact Source." ScholarWorks@UNO, 2019. https://scholarworks.uno.edu/td/2709.

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In this work we study vertical, acoustic propagation in a non-homogeneous media for a spatially-compact, time-harmonic source. An analytical, 2-layer model is developed representing the acoustic pressure disturbance propagating in the atmosphere. The validity of the model spans the distance from the Earth's surface to 30,000 meters. This includes the troposphere (adiabatic), ozone layer (isothermal), and part of the stratosphere (isothermal). The results of the model derivation in the adiabatic region yield pressure solutions as Bessel functions of the First (J) and Second (Y) Kind of order $-\frac{7}{2}$ with an argument of $2 \Omega \tau$ (where $\Omega$ represents a dimensionless frequency and $\tau$ is a dimensionless vertical height in z (vertical coordinate)). For an added second layer (isothermal region), the pressure solution is a decaying sinusoidal, exponential function above the first layer. In particular, the vertical, acoustic propagation is examined for various configurations. These are divided into 2 basic classes. The first class consists of examining the pressure response function when the source is located on boundary interfaces, while the second class consists of situations where the source is arbitrarily located within a finite layer. In all instances, a time-harmonic, compact source is implicitly understood. However, each class requires a different method of solution. The first class conforms to a general boundary value problem, while the second requires the use of Green's functions method. In investigating problems of the first class, 3 different scenarios are examined. In the first case, we apply our model to a semi-infinite medium with a time-harmonic source ($e^{-i \omega t}$) located on the ground. In the next 2 cases, a semi-infinite medium is overlain on the previous medium at a height of z=13,000 meters. Thus, there exist two boundaries: the ground and the layer interface between the 2 media. Sources placed at these interfaces represent the 2nd and 3rd scenarios, respectively. The solutions to all 3 cases are of the form $A \frac{J_{-\frac{7}{2}}(2 \Omega \tau)}{{\tau}^{-\frac{7}{2}}} + B \frac{Y_{-\frac{7}{2}}(2 \Omega \tau)}{{\tau}^{-\frac{7}{2}}}$, where \textit{A} and \textit{B} are constants determined by the boundary conditions. For the 2nd class, we examine the application to a time-harmonic, compact source placed arbitrarily within the 1st layer. The method of Green's functions is used to obtain a particular solution for the model equations. This result is compared with a Fast Field Program (FFP) which was developed to test these solutions. The results show that the response given by the Green's function compares favorably with that of the FFP. Keywords: Linear Acoustics, Inhomogeneous Medium, Layered Atmosphere, Boundary Value Problem, Green's Function Method
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Dinh, Van Duong. "Strichartz estimates and the nonlinear Schrödinger-type equations." Thesis, Toulouse 3, 2018. http://www.theses.fr/2018TOU30247/document.

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Cette thèse est consacrée à l'étude des aspects linéaires et non-linéaires des équations de type Schrödinger [ i partial_t u + |nabla|^sigma u = F, quad |nabla| = sqrt {-Delta}, quad sigma in (0, infty).] Quand $sigma = 2$, il s'agit de l'équation de Schrödinger bien connue dans de nombreux contextes physiques tels que la mécanique quantique, l'optique non-linéaire, la théorie des champs quantiques et la théorie de Hartree-Fock. Quand $sigma in (0,2) backslash {1}$, c'est l'équation Schrödinger fractionnaire, qui a été découverte par Laskin (voir par exemple cite{Laskin2000} et cite{Laskin2002}) en lien avec l'extension de l'intégrale de Feynman, des chemins quantiques de type brownien à ceux de Lévy. Cette équation apparaît également dans des modèles de vagues (voir par exemple cite{IonescuPusateri} et cite{Nguyen}). Quand $sigma = 1$, c'est l'équation des demi-ondes qui apparaît dans des modèles de vagues (voir cite{IonescuPusateri}) et dans l'effondrement gravitationnel (voir cite{ElgartSchlein}, cite{FrohlichLenzmann}). Quand $sigma = 4$, c'est l'équation Schrödinger du quatrième ordre ou biharmonique introduite par Karpman cite{Karpman} et par Karpman-Shagalov cite{KarpmanShagalov} pour prendre en compte le rôle de la dispersion du quatrième ordre dans la propagation d'un faisceau laser intense dans un milieu massif avec non-linéarité de Kerr. Cette thèse est divisée en deux parties. La première partie étudie les estimations de Strichartz pour des équations de type Schrödinger sur des variétés comprenant l'espace plat euclidien, les variétés compactes sans bord et les variétés asymptotiquement euclidiennes. Ces estimations de Strichartz sont utiles pour l'étude de l'équations dispersives non-linéaire à régularité basse. La seconde partie concerne l'étude des aspects non-linéaires tels que les caractères localement puis globalement bien posés sous l'espace d'énergie, ainsi que l'explosion de solutions peu régulières pour des équations non-linéaires de type Schrödinger. [...]
This dissertation is devoted to the study of linear and nonlinear aspects of the Schrödinger-type equations [ i partial_t u + |nabla|^sigma u = F, quad |nabla| = sqrt {-Delta}, quad sigma in (0, infty).] When $sigma = 2$, it is the well-known Schrödinger equation arising in many physical contexts such as quantum mechanics, nonlinear optics, quantum field theory and Hartree-Fock theory. When $sigma in (0,2) backslash {1}$, it is the fractional Schrödinger equation, which was discovered by Laskin (see e.g. cite{Laskin2000} and cite{Laskin2002}) owing to the extension of the Feynman path integral, from the Brownian-like to Lévy-like quantum mechanical paths. This equation also appears in the water waves model (see e.g. cite{IonescuPusateri} and cite{Nguyen}). When $sigma = 1$, it is the half-wave equation which arises in water waves model (see cite{IonescuPusateri}) and in gravitational collapse (see cite{ElgartSchlein}, cite{FrohlichLenzmann}). When $sigma =4$, it is the fourth-order or biharmonic Schrödinger equation introduced by Karpman cite {Karpman} and by Karpman-Shagalov cite{KarpmanShagalov} taking into account the role of small fourth-order dispersion term in the propagation of intense laser beam in a bulk medium with Kerr nonlinearity. This thesis is divided into two parts. The first part studies Strichartz estimates for Schrödinger-type equations on manifolds including the flat Euclidean space, compact manifolds without boundary and asymptotically Euclidean manifolds. These Strichartz estimates are known to be useful in the study of nonlinear dispersive equation at low regularity. The second part concerns the study of nonlinear aspects such as local well-posedness, global well-posedness below the energy space and blowup of rough solutions for nonlinear Schrödinger-type equations.[...]
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Book chapters on the topic "Non-compact problems"

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Bakelman, Ilya J. "Non-Compact Problems for Elliptic Solutions of Monge-Ampere Equations." In Convex Analysis and Nonlinear Geometric Elliptic Equations, 204–26. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-69881-1_5.

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Mortini, Raymond, and Rudolf Rupp. "The algebras Cb(X, $$ \mathbb{K} $$ ) and C(X, $$ \mathbb{K} $$ ) on non-compact spaces." In Extension Problems and Stable Ranks, 1116–52. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-73872-3_21.

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Keselman, D. G. "On the extremal boundary of convex compact measures which represent a non-regular point in choquet simplex." In Potential Theory Surveys and Problems, 211–13. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0103357.

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Katchalov, A., Y. Kurylev, and M. Lassas. "Energy Measurements and Equivalence of Boundary Data for Inverse Problems on Non-Compact Manifolds." In Geometric Methods in Inverse Problems and PDE Control, 183–213. New York, NY: Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4684-9375-7_6.

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García-Escudero, Juan, and Miguel Lorente. "Highest Weight Unitary Modules for Non-Compact Groups and Applications to Physical Problems." In Symmetries in Science V, 187–232. Boston, MA: Springer US, 1991. http://dx.doi.org/10.1007/978-1-4615-3696-3_10.

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Anosova, Joanna, and Ludmila Kiseleva. "Chance and Non-Chance Clustering in the Universe and Problem of High Redshift Galaxies in Compact Groups." In Examining the Big Bang and Diffuse Background Radiations, 511–15. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-0145-2_65.

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"Non-compact Elliptic Problems." In Singularly Perturbed Methods for Nonlinear Elliptic Problems, 1–53. Cambridge University Press, 2021. http://dx.doi.org/10.1017/9781108872638.002.

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S, Sheela, Sumathi M, Nirmala Priya S, Sangeeth Kumar B, Yukesh Kumar S J, and Gopinath S. "Adaptive Otsu’s Technique for PCOS Segmentation from Ovarian Ultrasound Images." In Intelligent Systems and Computer Technology. IOS Press, 2020. http://dx.doi.org/10.3233/apc200210.

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Infertility is a common and important problem of many women in today’s life. Poly cystic ovarian syndrome (PCOS) is the origin of the infertility. This endocrine disorder affects women’s reproductive system. It also causes other problems like cardiovascular diseases, diabetes mellitus, etc. Among the various imaging modality, Ultrasound plays a major role in the diagnosis of PCOS since it is harmless, painless and non-invasive. Even though ultrasound image has so many advantages, due to poor image quality, inherent noise, overlapping of follicles and operator’s lack of prior knowledge, analyzing the characteristics of the scanned image is more challenging. Now a day, several image processing techniques are available to make this process easier. A commonly used segmentation method is Otsu’s threshold-based segmentation technique. But, it is suitable only for the high contrast image. To make this method suitable for all the images, Adaptive Otsu’s Technique (AOT) is developed and also achieved more desirable segmentation of the region of interest (ROI). In MIMO system , mutual coupling degrades the antenna performance to overcome this we go for circular polarization. In this paper, compact circular polarization and planar
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"The Dirichlet problem with non-compact boundary." In Harmonic Approximation, 103–12. Cambridge University Press, 1995. http://dx.doi.org/10.1017/cbo9780511526220.009.

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Sohor, Andrii, and Markiian Sohor. "APPLICATION OF SVD METHOD IN SOLVING INCORRECT GEODESIC PROBLEMS." In Priority areas for development of scientific research: domestic and foreign experience. Publishing House “Baltija Publishing”, 2021. http://dx.doi.org/10.30525/978-9934-26-049-0-36.

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The most reliable method for calculating linear equations of the least squares principle, which can be used to solve incorrect geodetic problems, is based on matrix factorization, which is called a singular expansion. There are other methods that require less machine time and memory. But they are less effective in taking into account the errors of the source information, rounding errors and linear dependence. The methodology of such research is that for any matrix A and any two orthogonal matrices U and V there is a matrix Σ, which is determined from the ratio. The idea of a singular decomposition is that by choosing the right matrices U and V, you can convert most elements of the matrix to zero and make it diagonal with non-negative elements. The novelty and relevance of scientific solutions lies in the feasibility of using a singular decomposition of the matrix to obtain linear equations of the least squares method, which can be used to solve incorrect geodetic problems. The purpose of scientific research is to obtain a stable solution of parametric equations of corrections to the results of measurements in incorrect geodetic problems. Based on the performed research on the application of the singular decomposition method in solving incorrect geodetic problems, we can summarize the following. A singular expansion of a real matrix is any factorization of a matrix with orthogonal columns , an orthogonal matrix and a diagonal matrix , the elements of which are called singular numbers of the matrix , and the columns of matrices and left and right singular vectors. If the matrix has a full rank, then its solution will be unique and stable, which can be obtained by different methods. But the method of singular decomposition, in contrast to other methods, makes it possible to solve problems with incomplete rank. Research shows that the method of solving normal equations by sequential exclusion of unknowns (Gaussian method), which is quite common in geodesy, does not provide stable solutions for poorly conditioned or incorrect geodetic problems. Therefore, in the case of unstable systems of equations, it is proposed to use the method of singular matrix decomposition, which in computational mathematics is called SVD. The SVD singular decomposition method makes it possible to obtain stable solutions of both stable and unstable problems by nature. This possibility to solve incorrect geodetic problems is associated with the application of some limit τ, the choice of which can be made by the relative errors of the matrix of coefficients of parametric equations of corrections and the vector of results of geodetic measurements . Moreover, the solution of the system of normal equations obtained by the SVD method will have the shortest length. Thus, applying the apparatus of the singular decomposition of the matrix of coefficients of parametric equations of corrections to the results of geodetic measurements, we obtained new formulas for estimating the accuracy of the least squares method in solving incorrect geodetic problems. The derived formulas have a compact form and make it possible to easily calculate the elements and estimates of accuracy, almost ignoring the complex procedure of rotation of the matrix of coefficients of normal equations.
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Conference papers on the topic "Non-compact problems"

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Folloni, Nicolo, Mattia Monetti, Diego Carrera, Beatrice Rossi, Alberto Balzarotti, Giancarlo Zinco, and Pasqualina Fragneto. "An Improved Dynamic Compact Thermal Model for Non-Linear and Non-Homogeneous Heat Diffusion Problems." In 2020 27th IEEE International Conference on Electronics, Circuits and Systems (ICECS). IEEE, 2020. http://dx.doi.org/10.1109/icecs49266.2020.9294947.

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Long, Guangqing, Xiaoyuan Huang, and Aimei Tan. "A Product Integration Method for Eigenvalue Problems of a Class of Non-compact Operators." In 2012 Eighth International Conference on Computational Intelligence and Security (CIS). IEEE, 2012. http://dx.doi.org/10.1109/cis.2012.91.

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Balint, Agneta M., Stefan Balint, and Robert Szabo. "Linear stability of a non slipping gas flow in a rectangular lined duct with respect to perturbations of the initial value by indefinitely differentiable disturbances having compact support." In 9TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2012. AIP, 2012. http://dx.doi.org/10.1063/1.4765613.

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Verhaeghe, Hélène, Christophe Lecoutre, and Pierre Schaus. "Compact-MDD: Efficiently Filtering (s)MDD Constraints with Reversible Sparse Bit-sets." In Twenty-Seventh International Joint Conference on Artificial Intelligence {IJCAI-18}. California: International Joint Conferences on Artificial Intelligence Organization, 2018. http://dx.doi.org/10.24963/ijcai.2018/192.

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Multi-Valued Decision Diagrams (MDDs) are instrumental in modeling combinatorial problems with Constraint Programming.In this paper, we propose a related data structure called sMDD (semi-MDD) where the central layer of the diagrams is non-deterministic.We show that it is easy and efficient to transform any table (set of tuples) into an sMDD.We also introduce a new filtering algorithm, called Compact-MDD, which is based on bitwise operations, and can be applied to both MDDs and sMDDs.Our experimental results show the practical interest of our approach, both in terms of compression and filtering speed.
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Sharova, Y. S., and D. S. Shidlovski. "Numerical study of radiatively cooling partially ionized plasma expansion in neutral environment." In 8th International Congress on Energy Fluxes and Radiation Effects. Crossref, 2022. http://dx.doi.org/10.56761/efre2022.s2-p-033502.

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Plasma physics is a vast area of physics, which includes both fundamental aspects, such as, for example, astrophysics, and more applied ones: new compact plasma accelerators, compact powerful sources of X-ray and gamma radiation, new promising, practically inexhaustible sources of clean energy due to controlled thermonuclear fusion, compact ion sources for cancer therapy and isotope sources for nuclear medicine. Currently, studies of non-stationary and non-equilibrium processes in pulsed plasma created under the influence of high-intensity energy flows on matter are topical. Energy flows of multiterawatt and petawatt power levels are created, for example, in laboratory conditions, by electric pulse generators, as well as by short-pulse laser installations. This paper presents a hydrodynamic model that considers ions and neutrals as separate fluids that interact with each other through collisional processes. In this case, the evolution of ions is determined by the system of magnetic hydrodynamics, and of neutrals – by ordinary, non-magnetic hydrodynamics. Such an approximation makes it possible to carry out simulations and study effects in a partially ionized plasma [1, 2]. The code MARPLE3D (Keldysh Institute of Applied Mathematics, Russian Academy of Sciences), developed for solving problems of magnetic radiation gas dynamics on high-performance cluster-type computing systems, was used for simulation [3].
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Wang, Ruiwei, and Roland H. C. Yap. "Bipartite Encoding: A New Binary Encoding for Solving Non-Binary CSPs." In Twenty-Ninth International Joint Conference on Artificial Intelligence and Seventeenth Pacific Rim International Conference on Artificial Intelligence {IJCAI-PRICAI-20}. California: International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/ijcai.2020/165.

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Constraint Satisfaction Problems (CSPs) are typically solved with Generalized Arc Consistency (GAC). A general CSP can also be encoded into a binary CSP and solved with Arc Consistency (AC). The well-known Hidden Variable Encoding (HVE) is still a state-of-the-art binary encoding for solving CSPs. We propose a new binary encoding, called Bipartite Encoding (BE) which uses the idea of partitioning constraints. A BE encoded CSP can achieve a higher level of consistency than GAC on the original CSP. We give an algorithm for creating compact bipartite encoding for non-binary CSPs. We present a AC propagator on the binary constraints from BE exploiting their special structure. Experiments on a large set of non-binary CSP benchmarks with table constraints using the Wdeg, Activity and Impact heuristics show that BE with our AC propagator can outperform existing state-of-the-art GAC algorithms (CT, STRbit) and binary encodings (HVE with HTAC).
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Hu, Xiaochen, Zhaoyan Fan, and Brian Paul. "Strain Sensing for Compact Heat Exchanger Defect Detection." In ASME 2019 Pressure Vessels & Piping Conference. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/pvp2019-93727.

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Abstract The development of Compact Heat Exchangers (CHE) improves heat transfer efficiency with surface-to-volume ratios approaching 2500 m2/m3. In the applications such nuclear plants, CHE need to work for years in a harsh environment of high temperature up to 800 °C and high pressure up to 20 MPa. Any structural failure, i.e. cracks due to material fatigue or residual stress concentration in the CHEs, may result in safety problems and tremendous economy losses. Compared to the conventional heat exchangers, the non-destructive testing for CHE is challenging because the deformation of micrometer sized channels is hard to detect by the conventional means such as strain gauges or ultrasonic sensors. This paper presents a novel approach to detect the presence of cracks using fiber strain sensors embedded in the compact heat exchangers. The fiber sensors are proposed to install the heat exchanger with the microchannel plate stacks in the heat exchanger, measuring the strain distribution in the structure during the operation. Numerical and analytical models of CHE with and without cracks are built to learn crack size influence on strain variation. Sensors’ sensitivity to crack positions was calculated through simulation. A defect retrieval algorithm based on Tikhonov regularization is presented to achieve crack detection according to sensors’ outputs. A sample CHE section with 5x5 channels are simulated to quantitatively test the accuracy and validity of the proposed method.
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Bouin, Pauline, Ste´phane Marie, and Gre´gory Perez. "Development of a New Specimen to Study Crack Propagation Threshold and Non-Propagation Conditions." In ASME 2011 Pressure Vessels and Piping Conference. ASMEDC, 2011. http://dx.doi.org/10.1115/pvp2011-57086.

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The extension of nominal service-life of nuclear power plants leads to calculate more involved safety analyses of the nuclear structures for the different scenario of failures. In order to prevent catastrophic fracture, it is important to minimise the initiation of cracks or if considering that a crack can initiate, to determine if the extension of these cracks can stop or lead to the failure of the structure integrity. As a result, this work requires better understanding and characterisation of the crack propagation or non-propagation behaviour. Existing practises to determinate fatigue crack growth rate and fatigue thresholds are mainly based on compact tension (CT) specimen testing. For high loading ratio, the maximum of stress intensity factor (SIF) usually remains constant whereas the minimum of the SIF is increased to reduce the SIF range down to the threshold. On the contrary, for low loading ratio, complex loading control is required to make maximum and minimum SIF decrease. Furthermore, the results of these tests are mainly dependent on the accuracy of the piloting of the test bench, the specimen instrumentation and the force loading cell capacity. This paper presents details of adaptation of a specimen initially developed to study crack arrest problems under cleavage fracture. A bulk compact tension (BCT) specimen has been designed based on a standard CT specimen. Specifically, a reinforced heel at the back of the specimen enables a reduction of the loading at the crack front. In the case of fatigue, this reduces the SIF range while the loading condition remains constant during the test. A SIF calibration for these BCT specimens has also been established to estimate the compliance using finite element analysis with the French code, Cast3M.
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Abdul-Sater, Kassim. "A Hexagonal Prism Folding for Membrane Packaging Based on Concepts of Finite Rigid Motion and Kinematic Synthesis." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59293.

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This paper discusses the use of concepts of finite rigid body kinematics as well as kinematic synthesis in non-rigid, engineering folding problems. The exemplary task consists in designing a folding pattern, which allows to fold a circular sheet from a flat unfolded state into a prescribed compact spatial configuration that forms a hexagonal prism. Other two-configuration design problems may be found for instance in space applications where membranes in tensegrity reflector antennas need to be stowed in a spacecraft. The folding motion could be actuated using an appropriately designed linkage mechanism attached to the membrane, which, however, is not considered in this paper. The specific result of this work is a creative but systematic and computational procedure for crease pattern design. The approach is essentially based on the relative kinematics equations of serial kinematic chains and the finite position synthesis of linkage building blocks. These techniques sucessively combine to segment a flat bounded surface, such that it can reach the prescribed spatial configuration.
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Deshpande, Shrinath, and Anurag Purwar. "A Machine Learning Approach to Kinematic Synthesis of Defect-Free Planar Four-Bar Linkages." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85578.

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The past forty years of research in mechanism synthesis has witnessed an unprecedented volume of work in formulating and solving planar four-bar linkage synthesis problems. However, finding practical and useful mechanisms for the motion synthesis problem has proven to be elusive, as a large majority of mechanisms turn out to be defective with respect to their assembly modes. Most methods formulate the problem as a discrete precision position problem, which inherently ignores the continuity information in the input, resulting in linkages with branch-, circuit- and order-defects. In this paper, we bring together diverse fields of pattern recognition, machine learning, artificial neural network, and computational kinematics to present a novel approach that solves this problem both efficiently and effectively. At the heart of this approach lies an objective function that compares the motion as a whole thereby capturing designer’s intent. In contrast to widely used structural error or loop-closure equation based error functions which convolute the optimization by considering shape, size, position, and orientation simultaneously, this objective function computes motion difference in a form, which is invariant to similarity transformations. We employ auto-encoder neural networks to create a compact and clustered database of invariant motions of known linkages. The query is raised in the database for nearest neighbors, which are either solutions or good initial conditions for fast local optimization techniques. In spite of highly non-linear parameters space, our approach discovers a wide pool of defect-free solutions very quickly. We show that by employing proven machine learning techniques, this work could have far-reaching consequences to creating a multitude of useful and creative conceptual design solutions for mechanism synthesis problems, which go beyond planar four-bar linkages.
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