Relevant bibliographies by topics / Nonlinear parabolic and elliptic boundary values problems

Academic literature on the topic 'Nonlinear parabolic and elliptic boundary values problems'

Author: Grafiati
Published: 10 March 2023
Last updated: 11 March 2023

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Journal articles on the topic "Nonlinear parabolic and elliptic boundary values problems"

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Hamamuki, Nao, and Qing Liu. "A deterministic game interpretation for fully nonlinear parabolic equations with dynamic boundary conditions." ESAIM: Control, Optimisation and Calculus of Variations 26 (2020): 13. http://dx.doi.org/10.1051/cocv/2019076.

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This paper is devoted to deterministic discrete game-theoretic interpretations for fully nonlinear parabolic and elliptic equations with nonlinear dynamic boundary conditions. It is known that the classical Neumann boundary condition for general parabolic or elliptic equations can be generated by including reflections on the boundary to the interior optimal control or game interpretations. We study a dynamic version of such type of boundary problems, generalizing the discrete game-theoretic approach proposed by Kohn-Serfaty (2006, 2010) for Cauchy problems and later developed by Giga-Liu (2009) and Daniel (2013) for Neumann type boundary problems.
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Shangbin, Cui. "Some comparison and uniqueness theorems for nonlinear elliptic boundary value problems and nonlinear parabolic initial-boundary value problems." Nonlinear Analysis: Theory, Methods & Applications 29, no. 9 (November 1997): 1079–90. http://dx.doi.org/10.1016/s0362-546x(96)00097-1.

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Chow, S. S., and R. D. Lazarov. "Superconvergence analysis of flux computations for nonlinear problems." Bulletin of the Australian Mathematical Society 40, no. 3 (December 1989): 465–79. http://dx.doi.org/10.1017/s0004972700017536.

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In this paper we consider the error estimates for some boundary-flux calculation procedures applied to two-point semilinear and strongly nonlinear elliptic boundary value problems. The case of semilinear parabolic problems is also studied. We prove that the computed flux is superconvergent with second and third order of convergence for linear and quadratic elements respectively. Corresponding estimates for higher order elements may also be obtained by following the general line of argument.
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SHAKHMUROV, VELI B., and AIDA SAHMUROVA. "Mixed problems for degenerate abstract parabolic equations and applications." Carpathian Journal of Mathematics 34, no. 2 (2018): 247–54. http://dx.doi.org/10.37193/cjm.2018.02.13.

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Degenerate abstract parabolic equations with variable coefficients are studied. Here the boundary conditions are nonlocal. The maximal regularity properties of solutions for elliptic and parabolic problems and Strichartz type estimates in mixed Lebesgue spaces are obtained. Moreover, the existence and uniqueness of optimal regular solution of mixed problem for nonlinear parabolic equation is established. Note that, these problems arise in fluid mechanics and environmental engineering.
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Gavrilyuk, I. P. "Approximation of the Operator Exponential and Applications." Computational Methods in Applied Mathematics 7, no. 4 (2007): 294–320. http://dx.doi.org/10.2478/cmam-2007-0019.

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AbstractA review of the exponentially convergent approximations to the operator exponential is given. The applications to inhomogeneous parabolic and elliptic equations, nonlinear parabolic equations, tensor-product approximations of multidimensional solution operators as well as to parabolic problems with time dependent coefficients and boundary conditions are discussed.
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Indrei, Emanuel, and Andreas Minne. "Regularity of solutions to fully nonlinear elliptic and parabolic free boundary problems." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 33, no. 5 (September 2016): 1259–77. http://dx.doi.org/10.1016/j.anihpc.2015.03.009.

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I. Vishik, Mark, and Sergey Zelik. "Attractors for the nonlinear elliptic boundary value problems and their parabolic singular limit." Communications on Pure & Applied Analysis 13, no. 5 (2014): 2059–93. http://dx.doi.org/10.3934/cpaa.2014.13.2059.

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Zhang, Qi S. "A general blow-up result on nonlinear boundary-value problems on exterior domains." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 131, no. 2 (April 2001): 451–75. http://dx.doi.org/10.1017/s0308210500000950.

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In the first part, we study several exterior boundary-value problems covering three types of semilinear equations: elliptic, parabolic and hyperbolic. By a unified approach, we show that these problems share a common critical behaviour. In the second part we prove a blow-up result for an inhomogeneous porous medium equation with the critical exponent, which was left open in a previous paper.
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Andreu, F., N. Igbida, J. M. Mazón, and J. Toledo. "Renormalized solutions for degenerate elliptic–parabolic problems with nonlinear dynamical boundary conditions and L1-data." Journal of Differential Equations 244, no. 11 (June 2008): 2764–803. http://dx.doi.org/10.1016/j.jde.2008.02.022.

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Galkowski, Jeffrey. "Pseudospectra of semiclassical boundary value problems." Journal of the Institute of Mathematics of Jussieu 14, no. 2 (March 14, 2014): 405–49. http://dx.doi.org/10.1017/s1474748014000061.

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AbstractWe consider operators$ - \Delta + X $, where$ X $is a constant vector field, in a bounded domain, and show spectral instability when the domain is expanded by scaling. More generally, we consider semiclassical elliptic boundary value problems which exhibit spectral instability for small values of the semiclassical parameter$h$, which should be thought of as the reciprocal of the Péclet constant. This instability is due to the presence of the boundary: just as in the case of$ - \Delta + X $, some of our operators are normal when considered on$\mathbb{R}^d$. We characterize the semiclassical pseudospectrum of such problems as well as the areas of concentration of quasimodes. As an application, we prove a result about exit times for diffusion processes in bounded domains. We also demonstrate instability for a class of spectrally stable nonlinear evolution problems that are associated with these elliptic operators.
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Dissertations / Theses on the topic "Nonlinear parabolic and elliptic boundary values problems"

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Mavinga, Nsoki. "Nonlinear second order parabolic and elliptic equations with nonlinear boundary conditions." Birmingham, Ala. : University of Alabama at Birmingham, 2008. https://www.mhsl.uab.edu/dt/2009r/mavinga.pdf.

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Thesis (Ph. D.)--University of Alabama at Birmingham, 2008.
Title from PDF title page (viewed Sept. 23, 2009). Additional advisors: Inmaculada Aban, Alexander Frenkel, Wenzhang Huang, Yanni Zeng. Includes bibliographical references.
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魏宏儒. "A survey on the paper "Monotone Methods in Nonlinear Elliptic and Parabolic Boundary Value Problems"by D.H.SATTINGER." Thesis, 2016. http://ndltd.ncl.edu.tw/handle/76937255112973433990.

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碩士
國立中正大學
數學系應用數學研究所
104
We will discuss the application of Monotone iteration methods in proving the existing of the solutions of nonlinear elliptic and parabolic boundary value problems we will also discuss stability of these solution. Keywords:Nonlinear Elliptic Boundary Value Problems,Nonlinear Parabolic Boundary Value Problems,Monotone Methods.
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berti, diego. "Asymptotic analysis of solutions related to the game-theoretic p-laplacian." Doctoral thesis, 2019. http://hdl.handle.net/2158/1151352.

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Books on the topic "Nonlinear parabolic and elliptic boundary values problems"

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Sequeira, A., H. Beirão da Veiga, and V. A. Solonnikov. Recent advances in partial differential equations and applications: International conference in honor of Hugo Beirao de Veiga's 70th birthday, February 17-214, 2014, Levico Terme (Trento), Italy. Edited by Rădulescu, Vicenţiu D., 1958- editor. Providence, Rhode Island: American Mathematical Society, 2016.

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Nahmod, Andrea R. Recent advances in harmonic analysis and partial differential equations: AMS special sessions, March 12-13, 2011, Statesboro, Georgia : the JAMI Conference, March 21-25, 2011, Baltimore, Maryland. Edited by American Mathematical Society and JAMI Conference (2011 : Baltimore, Md.). Providence, Rhode Island: American Mathematical Society, 2012.

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Book chapters on the topic "Nonlinear parabolic and elliptic boundary values problems"

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Pao, C. V. "Elliptic Boundary-Value Problems." In Nonlinear Parabolic and Elliptic Equations, 93–138. Boston, MA: Springer US, 1992. http://dx.doi.org/10.1007/978-1-4615-3034-3_3.

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Pao, C. V. "Parabolic Boundary-Value Problems." In Nonlinear Parabolic and Elliptic Equations, 47–92. Boston, MA: Springer US, 1992. http://dx.doi.org/10.1007/978-1-4615-3034-3_2.

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Andreu, F., N. Igbida, J. M. Mazón, and J. Toledo. "Existence and Uniqueness Results for Quasi-linear Elliptic and Parabolic Equations with Nonlinear Boundary Conditions." In Free Boundary Problems, 11–21. Basel: Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_2.

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"Boundary value problems for nonlinear non variational elliptic and parabolic systems: solvability and regularity results." In Proceedings of the Fifth International Colloquium on Differential Equations, 223–34. De Gruyter, 1995. http://dx.doi.org/10.1515/9783112314029-023.

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Marino, M., A. Maugeri, and J. Naumann. "Fine Regularity for Nonlinear Nonvariational Parabolic Systems Overlapping Multi-Subdomain Asynchronous Fixed Point Methods for Elliptic Boundary Value Problems." In Proceedings of the Ninth International Colloquium on Differential Equations, 257–60. De Gruyter, 1999. http://dx.doi.org/10.1515/9783112318973-039.

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Conference papers on the topic "Nonlinear parabolic and elliptic boundary values problems"

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Lilley, David G. "Computational Methods Using Excel/VBA for Engineering Applications." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99172.

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The focus is that Excel/VBA provides a useful platform for engineering calculations in energy engineering. It includes computational methods in the simulation and solution of engineering problems that may or may not have analytical exact mathematical solutions. Emphasis is on the methods and applications, using Excel as the interface for data input and output, tables and figures, and Visual Basic for Applications VBA as the programming language for computations. Fundamental topics of: • Linear and Nonlinear Sets of Equations; • Interpolating Polynomials; • Differentiation and Integration; • Solution of ODEs – Initial and Boundary Value Problems; • Solution of PDEs – Elliptic, Parabolic and Hyperbolic; • Graphics, including Plotting and Data Presentation, and Curve Fitting. Connections are made between each topic and a variety of engineering problems and applications. In this approach, it is emphasized how to develop and apply numerical techniques to solve engineering problems.
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Journal articles
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