Second Order Parabolic Differential Equations - Hardcover

Lieberman, Gary M

Hardcover

ISBN 10: 981022883X ISBN 13: 9789810228835

Publisher: World Scientific Publishing Co Pte Ltd, 1996

Synopsis

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.

About this title

Product Description

An introduction to the general theory of second order parabolic differential equations, which model many time-dependent physical systems. The book 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 feature is the emphasis on time-varying domains.

Edition details

• Publisher: World Scientific Publishing Co Pte Ltd
• Publication date: 1996
• Language: English
• ISBN 10: 981022883X
• ISBN 13: 9789810228835
• Binding: Hardcover
• Number of pages: 452