Second Order Parabolic Differential Equations

By Gary M. Lieberman

Publisher: World Scientific Publishing Company
Number Of Pages: 439
Publication Date: 1996-12
Sales Rank: 977036
ISBN / ASIN: 981022883X
EAN: 9789810228835
Binding: Hardcover
Manufacturer: World Scientific Publishing Company
Studio: World Scientific Publishing Company

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.

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