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Статті в журналах з теми "Analisi infinitesimale"

Автор: Grafiati

Опубліковано: 26 липня 2024

Оновлено: 27 липня 2024

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1

Ikeda, Hiroshi. "Infinitesimal Stability of Anosov Endomorphisms." Journal of Differential Equations 130, no. 1 (September 1996): 1–8. http://dx.doi.org/10.1006/jdeq.1996.0129.

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2

Wu, Yan, Yi Qi, and Zunwei Fu. "On Geodesic Segments in the Infinitesimal Asymptotic Teichmüller Spaces." Journal of Function Spaces 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/276719.

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Анотація:

LetAZ(R)be the infinitesimal asymptotic Teichmüller space of a Riemann surfaceRof infinite type. It is known thatAZ(R)is the quotient Banach space of the infinitesimal Teichmüller spaceZ(R), whereZ(R)is the dual space of integrable quadratic differentials. The purpose of this paper is to study the nonuniqueness of geodesic segment joining two points inAZ(R). We prove that there exist infinitely many geodesic segments between the basepoint and every nonsubstantial point in the universal infinitesimal asymptotic Teichmüller spaceAZ(D)by constructing a special degenerating sequence.

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3

Kiselev, A., and B. Simon. "Rank One Perturbations with Infinitesimal Coupling." Journal of Functional Analysis 130, no. 2 (June 1995): 345–56. http://dx.doi.org/10.1006/jfan.1995.1074.

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4

van Ackooij, W., B. de Pagter, and F. A. Sukochev. "Domains of infinitesimal generators of automorphism flows." Journal of Functional Analysis 218, no. 2 (January 2005): 409–24. http://dx.doi.org/10.1016/j.jfa.2004.05.004.

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5

Sandu, Adrian. "A Class of Multirate Infinitesimal GARK Methods." SIAM Journal on Numerical Analysis 57, no. 5 (January 2019): 2300–2327. http://dx.doi.org/10.1137/18m1205492.

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6

Abadias, Luciano, and Pedro J. Miana. "Quasigeostrophic Equations for Fractional Powers of Infinitesimal Generators." Journal of Function Spaces 2019 (February 7, 2019): 1–7. http://dx.doi.org/10.1155/2019/4763450.

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Анотація:

In this paper we treat the following partial differential equation, the quasigeostrophic equation: ∂/∂t+u·∇f=-σ-Aαf, 0≤α≤1, where (A,D(A)) is the infinitesimal generator of a convolution C0-semigroup of positive kernel on Lp(Rn), with 1≤p<∞. Firstly, we give remarkable pointwise and integral inequalities involving the fractional powers (-A)α for 0≤α≤1. We use these estimates to obtain Lp-decayment of solutions of the above quasigeostrophic equation. These results extend the case of fractional derivatives (taking A=Δ, the Laplacian), which has been studied in the literature.

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7

Bismut, Jean-Michel. "The infinitesimal Lefschetz formulas: A heat equation proof." Journal of Functional Analysis 62, no. 3 (July 1985): 435–57. http://dx.doi.org/10.1016/0022-1236(85)90013-8.

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8

Airault, Hélène. "Projection of the infinitesimal generator of a diffusion." Journal of Functional Analysis 85, no. 2 (August 1989): 353–91. http://dx.doi.org/10.1016/0022-1236(89)90041-4.

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9

Galé, José E., and Tadeusz Pytlik. "Functional Calculus for Infinitesimal Generators of Holomorphic Semigroups." Journal of Functional Analysis 150, no. 2 (November 1997): 307–55. http://dx.doi.org/10.1006/jfan.1997.3136.

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10

Primozic, Eric. "Motivic cohomology and infinitesimal group schemes." Annals of K-Theory 7, no. 3 (December 19, 2022): 441–66. http://dx.doi.org/10.2140/akt.2022.7.441.

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11

Najdanovic, Marija, Ljubica Velimirovic, and Svetozar Rancic. "The total torsion of knots under second order infinitesimal bending." Applicable Analysis and Discrete Mathematics, no. 00 (2020): 35. http://dx.doi.org/10.2298/aadm200206035n.

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Анотація:

In this paper we consider infinitesimal bending of the second order of curves and knots. The total torsion of the knot during the second order infinitesimal bending is discussed and expressions for the first and the second variation of the total torsion are given. Some examples aimed to illustrate infinitesimal bending of knots are shown using figures. Colors are used to illustrate torsion values at different points of bent knots and the total torsion is numerically calculated.

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12

Dajczer, Marcos, and Miguel Ibieta Jimenez. "Conformal infinitesimal variations of submanifolds." Differential Geometry and its Applications 75 (April 2021): 101721. http://dx.doi.org/10.1016/j.difgeo.2021.101721.

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13

Hurder, Steven. "Infinitesimal rigidity for hyperbolic actions." Journal of Differential Geometry 41, no. 3 (1995): 515–27. http://dx.doi.org/10.4310/jdg/1214456480.

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14

Winkelnkemper, Horst Elmar. "Infinitesimal obstructions to weakly mixing." Annals of Global Analysis and Geometry 10, no. 3 (1992): 209–18. http://dx.doi.org/10.1007/bf00136864.

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15

Garcea, Giovanni, Giovanni Formica, and Raffaele Casciaro. "A numerical analysis of infinitesimal mechanisms." International Journal for Numerical Methods in Engineering 62, no. 8 (2005): 979–1012. http://dx.doi.org/10.1002/nme.1158.

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16

Yao, Guowu. "A binary infinitesimal form of the Teichmüller metric." Journal d'Analyse Mathématique 131, no. 1 (March 2017): 323–35. http://dx.doi.org/10.1007/s11854-017-0011-x.

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17

Sergeyev, Yaroslav D. "Numerical point of view on Calculus for functions assuming finite, infinite, and infinitesimal values over finite, infinite, and infinitesimal domains." Nonlinear Analysis: Theory, Methods & Applications 71, no. 12 (December 2009): e1688-e1707. http://dx.doi.org/10.1016/j.na.2009.02.030.

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18

Février, Maxime, and Alexandru Nica. "Infinitesimal non-crossing cumulants and free probability of type B." Journal of Functional Analysis 258, no. 9 (May 2010): 2983–3023. http://dx.doi.org/10.1016/j.jfa.2009.10.010.

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19

Tryhuk, V., V. Chrastinová, and O. Dlouhý. "The Lie Group in Infinite Dimension." Abstract and Applied Analysis 2011 (2011): 1–35. http://dx.doi.org/10.1155/2011/919538.

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Анотація:

A Lie group acting on finite-dimensional space is generated by its infinitesimal transformations and conversely, any Lie algebra of vector fields in finite dimension generates a Lie group (the first fundamental theorem). This classical result is adjusted for the infinite-dimensional case. We prove that the (local,C∞smooth) action of a Lie group on infinite-dimensional space (a manifold modelled onℝ∞) may be regarded as a limit of finite-dimensional approximations and the corresponding Lie algebra of vector fields may be characterized by certain finiteness requirements. The result is applied to the theory of generalized (or higher-order) infinitesimal symmetries of differential equations.

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20

Idris, Ismail M. "On unitary groups modulo infinitesimals." Linear Algebra and its Applications 235 (March 1996): 63–76. http://dx.doi.org/10.1016/0024-3795(94)00115-4.

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21

Neff, Patrizio, Antje Sydow, and Christian Wieners. "Numerical approximation of incremental infinitesimal gradient plasticity." International Journal for Numerical Methods in Engineering 77, no. 3 (January 15, 2009): 414–36. http://dx.doi.org/10.1002/nme.2420.

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22

Smoller, Joel, and Arthur Wasserman. "Symmetry, degeneracy, and universality in semilinear elliptic equations. Infinitesimal symmetry-breaking." Journal of Functional Analysis 89, no. 2 (March 1990): 364–409. http://dx.doi.org/10.1016/0022-1236(90)90099-7.

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23

Chow, Yat Tin, and Wilfrid Gangbo. "A partial Laplacian as an infinitesimal generator on the Wasserstein space." Journal of Differential Equations 267, no. 10 (November 2019): 6065–117. http://dx.doi.org/10.1016/j.jde.2019.06.012.

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24

Cruzeiro, Ana Bela, and Paul Malliavin. "Non-existence of infinitesimally invariant measures on loop groups." Journal of Functional Analysis 254, no. 7 (April 2008): 1974–87. http://dx.doi.org/10.1016/j.jfa.2007.11.019.

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25

Bracci, Filippo, Manuel D. Contreras, and Santiago Díaz-Madrigal. "Infinitesimal generators associated with semigroups of linear fractional maps." Journal d'Analyse Mathématique 102, no. 1 (August 2007): 119–42. http://dx.doi.org/10.1007/s11854-007-0018-9.

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26

Calvez, Vincent, Thomas Lepoutre, and David Poyato. "Ergodicity of the Fisher infinitesimal model with quadratic selection." Nonlinear Analysis 238 (January 2024): 113392. http://dx.doi.org/10.1016/j.na.2023.113392.

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27

Wang, JinRong, and Ahmed G. Ibrahim. "Existence and Controllability Results for Nonlocal Fractional Impulsive Differential Inclusions in Banach Spaces." Journal of Function Spaces and Applications 2013 (2013): 1–16. http://dx.doi.org/10.1155/2013/518306.

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Анотація:

We firstly deal with the existence of mild solutions for nonlocal fractional impulsive semilinear differential inclusions involving Caputo derivative in Banach spaces in the case when the linear part is the infinitesimal generator of a semigroup not necessarily compact. Meanwhile, we prove the compactness property of the set of solutions. Secondly, we establish two cases of sufficient conditions for the controllability of the considered control problems.

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28

Feng, Sebert. "Symmetry analysis for a second-order ordinary differential equation." Electronic Journal of Differential Equations 2021, no. 01-104 (October 15, 2021): 85. http://dx.doi.org/10.58997/ejde.2021.85.

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Анотація:

In this article, we apply the Lie symmetry analysis to a second-order nonlinear ordinary differential equation, which is a Lienard-type equation with quadratic friction. We find the infinitesimal generators under certain parametric conditions and apply them to construct canonical variables. Also we present some formulas for the first integral for this equation. For more information see https://ejde.math.txstate.edu/Volumes/2021/85/abstr.html

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29

Gurtin, M. E., H. M. Soner, and P. E. Souganidis. "Anisotropic Motion of an Interface Relaxed by the Formation of Infinitesimal Wrinkles." Journal of Differential Equations 119, no. 1 (June 1995): 54–108. http://dx.doi.org/10.1006/jdeq.1995.1084.

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30

MARDARE, SORIN, та MARCELA SZOPOS. "LINEAR AND NONLINEAR KORN INEQUALITIES ON CURVES IN ℝ3". Analysis and Applications 03, № 03 (липень 2005): 251–70. http://dx.doi.org/10.1142/s021953050500056x.

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Анотація:

We establish several linear and nonlinear inequalities of Korn's type for curves in the three-dimensional Euclidean space. These inequalities are obtained under weak regularity assumptions on the curve of reference. We also establish an infinitesimal rigid displacement lemma for curves.

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31

Álvarez, A., J. L. Bravo, C. Christopher, and P. Mardešić. "Infinitesimal Center Problem on Zero Cycles and the Composition Conjecture." Functional Analysis and Its Applications 55, no. 4 (October 2021): 257–71. http://dx.doi.org/10.1134/s0016266321040018.

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32

Kierat, W. "A remark about the infinitesimal operator of the cauchy semigroup." Integral Transforms and Special Functions 4, no. 3 (August 1996): 243–48. http://dx.doi.org/10.1080/10652469608819111.

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33

Seubert, S. M. "A Note on Infinitesimal Generators of Semigroups on H2/φH2". Journal of Mathematical Analysis and Applications 173, № 2 (березень 1993): 649–53. http://dx.doi.org/10.1006/jmaa.1993.1095.

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34

Manzanilla, Raúl, Luis Gerardo Mármol, and Carmen J. Vanegas. "On the Controllability of a Differential Equation with Delayed and Advanced Arguments." Abstract and Applied Analysis 2010 (2010): 1–16. http://dx.doi.org/10.1155/2010/307409.

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Анотація:

A semigroup theory for a differential equation with delayed and advanced arguments is developed, with a detailed description of the infinitesimal generator. This in turn allows to study the exact controllability of the equation, by rewriting it as a classical Cauchy problem.

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35

Applebaum, David. "On the Infinitesimal Generators of Ornstein–Uhlenbeck Processes with Jumps in Hilbert Space." Potential Analysis 26, no. 1 (October 12, 2006): 79–100. http://dx.doi.org/10.1007/s11118-006-9028-y.

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36

Qian, Nantian. "Infinitesimal rigidity of higher rank lattice actions." Communications in Analysis and Geometry 4, no. 3 (1996): 495–524. http://dx.doi.org/10.4310/cag.1996.v4.n3.a7.

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37

Krötz, Bernhard, Job J. Kuit, Eric M. Opdam, and Henrik Schlichtkrull. "The Infinitesimal Characters of Discrete Series for Real Spherical Spaces." Geometric and Functional Analysis 30, no. 3 (June 2020): 804–57. http://dx.doi.org/10.1007/s00039-020-00540-6.

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38

Gubinelli, Massimiliano, and Nicolas Perkowski. "The infinitesimal generator of the stochastic Burgers equation." Probability Theory and Related Fields 178, no. 3-4 (August 26, 2020): 1067–124. http://dx.doi.org/10.1007/s00440-020-00996-5.

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Анотація:

Abstract We develop a martingale approach for a class of singular stochastic PDEs of Burgers type (including fractional and multi-component Burgers equations) by constructing a domain for their infinitesimal generators. It was known that the domain must have trivial intersection with the usual cylinder test functions, and to overcome this difficulty we import some ideas from paracontrolled distributions to an infinite dimensional setting in order to construct a domain of controlled functions. Using the new domain, we are able to prove existence and uniqueness for the Kolmogorov backward equation and the martingale problem. We also extend the uniqueness result for “energy solutions” of the stochastic Burgers equation of Gubinelli and Perkowski (J Am Math Soc 31(2):427–471, 2018) to a wider class of equations. As applications of our approach we prove that the stochastic Burgers equation on the torus is exponentially $$L^2$$ L 2 -ergodic, and that the stochastic Burgers equation on the real line is ergodic.

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39

Kukushkin, Maksim V. "Note on the Equivalence of Special Norms on the Lebesgue Space." Axioms 10, no. 2 (April 16, 2021): 64. http://dx.doi.org/10.3390/axioms10020064.

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Анотація:

In this paper, we consider a norm based on the infinitesimal generator of the shift semigroup in a direction. The relevance of such a focus is guaranteed by an abstract representation of a uniformly elliptic operator by means of a composition of the corresponding infinitesimal generator. The main result of the paper is a theorem establishing equivalence of norms in functional spaces. Even without mentioning the relevance of this result for the constructed theory, we claim it deserves to be considered itself.

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40

Console, Sergio. "Infinitesimally homogeneous submanifolds of euclidean spaces." Annals of Global Analysis and Geometry 12, no. 1 (February 1994): 313–34. http://dx.doi.org/10.1007/bf02108304.

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41

Azarina, Svetlana V., and Yuri E. Gliklikh. "Stochastic differential inclusions in terms of infinitesimal generators and mean derivatives." Applicable Analysis 88, no. 1 (January 2009): 89–105. http://dx.doi.org/10.1080/00036810802556795.

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42

Kuznetsov, Ivan, and Sergey Sazhenkov. "Weak solutions of impulsive pseudoparabolic equations with an infinitesimal transition layer." Nonlinear Analysis 228 (March 2023): 113190. http://dx.doi.org/10.1016/j.na.2022.113190.

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43

Azé, Dominique, Chin Cheng Chou, and Jean-Paul Penot. "Subtraction Theorems and Approximate Openness for Multifunctions: Topological and Infinitesimal Viewpoints." Journal of Mathematical Analysis and Applications 221, no. 1 (May 1998): 33–58. http://dx.doi.org/10.1006/jmaa.1995.5054.

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44

Ruíz-Pantaleón, J. C., D. García-Beltrán, and Yu Vorobiev. "Infinitesimal Poisson algebras and linearization of Hamiltonian systems." Annals of Global Analysis and Geometry 58, no. 4 (September 9, 2020): 415–31. http://dx.doi.org/10.1007/s10455-020-09733-6.

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45

Patout, Florian. "The Cauchy problem for the infinitesimal model in the regime of small variance." Analysis & PDE 16, no. 6 (August 23, 2023): 1289–350. http://dx.doi.org/10.2140/apde.2023.16.1289.

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46

Grinshpun, Edward. "Asymptotics of spectrum under infinitesimally form-bounded perturbation." Integral Equations and Operator Theory 19, no. 2 (June 1994): 240–50. http://dx.doi.org/10.1007/bf01206413.

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47

Sklyar, Grigory M., and Vitalii Marchenko. "Hardy inequality and the construction of infinitesimal operators with non-basis family of eigenvectors." Journal of Functional Analysis 272, no. 3 (February 2017): 1017–43. http://dx.doi.org/10.1016/j.jfa.2016.11.001.

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48

Kanel-Belov, A. Ya, V. A. Voronov, and D. D. Cherkashin. "On the chromatic number of an infinitesimal plane layer." St. Petersburg Mathematical Journal 29, no. 5 (July 26, 2018): 761–75. http://dx.doi.org/10.1090/spmj/1515.

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49

Froyland, Gary, Oliver Junge, and Péter Koltai. "Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach." SIAM Journal on Numerical Analysis 51, no. 1 (January 2013): 223–47. http://dx.doi.org/10.1137/110819986.

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50

Boua, Hamid. "Spectral Theory For Strongly Continuous Cosine." Concrete Operators 8, no. 1 (January 1, 2021): 40–47. http://dx.doi.org/10.1515/conop-2020-0110.

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Анотація:

Abstract Let (C(t)) t∈ℝ be a strongly continuous cosine family and A be its infinitesimal generator. In this work, we prove that, if C(t) – cosh λt is semi-Fredholm (resp. semi-Browder, Drazin inversible, left essentially Drazin and right essentially Drazin invertible) operator and λt ∉ iπℤ, then A – λ 2 is also. We show by counterexample that the converse is false in general.

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