Quasilinear Degenerate And Nonuniformly Elliptic And Parabolic Equations Of Second Order
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Quasilinear Degenerate and Nonuniformly Elliptic and Parabolic Equations of Second Order
Author | : A. V. Ivanov |
Publsiher | : American Mathematical Soc. |
Total Pages | : 306 |
Release | : 1984 |
Genre | : Mathematics |
ISBN | : 0821830805 |
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Quasilinear degenerate and nonuniformly elliptic and parabolic equations of the second order
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Author | : A. V. Ivanov |
Publsiher | : Unknown |
Total Pages | : 287 |
Release | : 1984 |
Genre | : Electronic Book |
ISBN | : OCLC:859817908 |
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Theoretical and Mathematical Physics
Author | : Vasiliĭ Sergeevich Vladimirov,Evgeniĭ Frolovich Mishchenko,A. K. Gushchin |
Publsiher | : American Mathematical Soc. |
Total Pages | : 270 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : 0821831194 |
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Harmonic Analysis and Partial Differential Equations
Author | : Anatoly Golberg,Peter Kuchment,David Shoikhet |
Publsiher | : Springer Nature |
Total Pages | : 319 |
Release | : 2023-04-26 |
Genre | : Mathematics |
ISBN | : 9783031254246 |
Download Harmonic Analysis and Partial Differential Equations Book in PDF, Epub and Kindle
Over the course of his distinguished career, Vladimir Maz'ya has made a number of groundbreaking contributions to numerous areas of mathematics, including partial differential equations, function theory, and harmonic analysis. The chapters in this volume - compiled on the occasion of his 80th birthday - are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.
Singular Solutions of Nonlinear Elliptic and Parabolic Equations
Author | : Alexander A. Kovalevsky,Igor I. Skrypnik,Andrey E. Shishkov |
Publsiher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 447 |
Release | : 2016-03-21 |
Genre | : Mathematics |
ISBN | : 9783110390087 |
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This monograph looks at several trends of investigation of singular solutions of nonlinear elliptic and parabolic equations. It discusses results on the existence and properties of weak and entropy solutions to these equations. It will be useful for researchers and post-graduate students that specialize in the field of the theory of partial differential equations and nonlinear analysis.
Sobolev and Viscosity Solutions for Fully Nonlinear Elliptic and Parabolic Equations
Author | : N. V. Krylov |
Publsiher | : American Mathematical Soc. |
Total Pages | : 441 |
Release | : 2018-09-07 |
Genre | : Differential equations, Parabolic |
ISBN | : 9781470447403 |
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This book concentrates on first boundary-value problems for fully nonlinear second-order uniformly elliptic and parabolic equations with discontinuous coefficients. We look for solutions in Sobolev classes, local or global, or for viscosity solutions. Most of the auxiliary results, such as Aleksandrov's elliptic and parabolic estimates, the Krylov–Safonov and the Evans–Krylov theorems, are taken from old sources, and the main results were obtained in the last few years. Presentation of these results is based on a generalization of the Fefferman–Stein theorem, on Fang-Hua Lin's like estimates, and on the so-called “ersatz” existence theorems, saying that one can slightly modify “any” equation and get a “cut-off” equation that has solutions with bounded derivatives. These theorems allow us to prove the solvability in Sobolev classes for equations that are quite far from the ones which are convex or concave with respect to the Hessians of the unknown functions. In studying viscosity solutions, these theorems also allow us to deal with classical approximating solutions, thus avoiding sometimes heavy constructions from the usual theory of viscosity solutions.
Linear and Quasi linear Equations of Parabolic Type
Author | : Olʹga A. Ladyženskaja,Vsevolod Alekseevich Solonnikov |
Publsiher | : American Mathematical Soc. |
Total Pages | : 74 |
Release | : 1988 |
Genre | : Mathematics |
ISBN | : 0821815733 |
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Equations of parabolic type are encountered in many areas of mathematics and mathematical physics, and those encountered most frequently are linear and quasi-linear parabolic equations of the second order. In this volume, boundary value problems for such equations are studied from two points of view: solvability, unique or otherwise, and the effect of smoothness properties of the functions entering the initial and boundary conditions on the smoothness of the solutions.
Second Order Parabolic Differential Equations
Author | : Gary M. Lieberman |
Publsiher | : World Scientific |
Total Pages | : 472 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 981022883X |
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Introduction. Maximum principles. Introduction to the theory of weak solutions. Hölder estimates. Existence, uniqueness, and regularity of solutions. Further theory of weak solutions. Strong solutions. Fixed point theorems and their applications. Comparison and maximum principles. Boundary gradient estimates. Global and local gradient bounds. Hölder gradient estimates and existence theorems. The oblique derivative problem for quasilinear parabolic equations. Fully nonlinear equations. Introduction. Monge-Ampère and Hessian equations.