Second Order Parabolic Differential Equations
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A01=Gary M Lieberman
Author_Gary M Lieberman
Category=PBKJ
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Existence
Initial-Boundary Value Problems
Linear Boundary Conditions
Maximum Principle
Nonlinear Boundary Conditions
Partial Differential Equations
Regularity
Uniqueness
Product details
- ISBN 9789810228835
- Publication Date: 06 Nov 1996
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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This book is an introduction to the general theory of second order parabolic differential equations, which model many important, time-dependent physical systems. It studies the existence, uniqueness, and regularity of solutions to a variety of problems with Dirichlet boundary conditions and general linear and nonlinear boundary conditions by means of a priori estimates. The first seven chapters give a description of the linear theory and are suitable for a graduate course on partial differential equations. The last eight chapters cover the nonlinear theory for smooth solutions. They include much of the author's research and are aimed at researchers in the field. A unique feature is the emphasis on time-varying domains.
