Science/Engineering Gary M. Lieberman - Second Order Parabolic Partial Differential Equations (981022883X)

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Gary M. Lieberman, "Second Order Parabolic Partial Differential Equations"

Book Description

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.

Contents

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 I. Introduction
Fully Nonlinear Equations II. Hessian Equations

Audience

Graduate students and researchers in mathematics.

Reviews

"In the reviewer's opinion the author of this nicely written book has succeeded very well in his goal that 'this book was to create a companion volume to Elliptic Partial Differential Equations of Second Order by David Gilbarg and Neil S Trudinger." -- Mathematical Reviews

"The book provides an essentially self-contained exposition of the theory of second order parabolic partial differential equations." -- Mathematics Abstracts

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	Science/Engineering Numerical Methods for Elliptic and Parabolic Partial Differential Equations Numerical Methods for Elliptic and Parabolic Partial Differential Equations (Texts in Applied Mathematics) by Peter Knabner, Lutz AngermanPublisher: Springer; 1 edition (June 26, 2003) \| ISBN-10: 038795449X \| PDF \| 8,7 Mb \| 415 pagesThis t ...
	Science/Engineering Multi-dimensional Hyperbolic Partial Differential Equations: First-order Systems and Applications Sylvie Benzoni-Gavage , Denis Serre, "Multi-dimensional Hyperbolic Partial Differential Equations: First-order Systems and Applications" Oxford University Press, USA (December 22, 2006) \| ISBN: 019921123X \| 536 pages \| PDF \| 3 Mb ...
	Science/Engineering Elliptic Partial Differential Equations of Second Order Elliptic Partial Differential Equations of Second OrderSpringer \| ISBN: 3540411607 \| 2001-03-01 \| PDF \| 529 pages \| 45 Mb "This is a book of interest to any having to work with differential equations, either as a reference or as a book to l ...
	Science/Engineering Partial Differential Equations VI: Elliptic and Parabolic Operators M.S. Agranovich , S.D. Ejdel'man, S.Z. Levendorskij , "Partial Differential Equations VI: Elliptic and Parabolic Operators" Springer \| 1994-08-26 \| ISBN: 3540546782 \| 325 pages \| PDF \| 15,7 MB This volume of the EMS contains three contr ...
	Study The Characteristic Method and Its Generalizations for First-Order Nonlinear Partial Differential Equations Tran Duc Van, MIko Tsuji, Nguyen Duy Thai Son "The Characteristic Method and Its Generalizations for First-Order Nonlinear Partial Differential Equations"Chapman & Hall/CRC \| English \| 1999-06-25 \| ISBN: 1584880163 \| 256 pages \| PDF \| ...
	Technical Partial Differential Equations V: Asymptotic Methods for Partial Differential Equations (Encyclopaedia of Mathematical Sciences) (v. 5) ISBN: 3540533710 Publisher: Springer Author: Description:The six articles in this EMS volume provide an overview of a number of contemporary techniques in the study of the asymptotic behavior of partial differential equations. These techniq ...

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	Science/Engineering Numerical Methods for Elliptic and Parabolic Partial Differential Equations Numerical Methods for Elliptic and Parabolic Partial Differential Equations (Texts in Applied Mathematics) by Peter Knabner, Lutz AngermanPublisher: Springer; 1 edition (June 26, 2003) \| ISBN-10: 038795449X \| PDF \| 8,7 Mb \| 415 pagesThis t ...
	Science/Engineering Multi-dimensional Hyperbolic Partial Differential Equations: First-order Systems and Applications Sylvie Benzoni-Gavage , Denis Serre, "Multi-dimensional Hyperbolic Partial Differential Equations: First-order Systems and Applications" Oxford University Press, USA (December 22, 2006) \| ISBN: 019921123X \| 536 pages \| PDF \| 3 Mb ...
	Science/Engineering Elliptic Partial Differential Equations of Second Order Elliptic Partial Differential Equations of Second OrderSpringer \| ISBN: 3540411607 \| 2001-03-01 \| PDF \| 529 pages \| 45 Mb "This is a book of interest to any having to work with differential equations, either as a reference or as a book to l ...
	Science/Engineering Partial Differential Equations VI: Elliptic and Parabolic Operators M.S. Agranovich , S.D. Ejdel'man, S.Z. Levendorskij , "Partial Differential Equations VI: Elliptic and Parabolic Operators" Springer \| 1994-08-26 \| ISBN: 3540546782 \| 325 pages \| PDF \| 15,7 MB This volume of the EMS contains three contr ...
	Study The Characteristic Method and Its Generalizations for First-Order Nonlinear Partial Differential Equations Tran Duc Van, MIko Tsuji, Nguyen Duy Thai Son "The Characteristic Method and Its Generalizations for First-Order Nonlinear Partial Differential Equations"Chapman & Hall/CRC \| English \| 1999-06-25 \| ISBN: 1584880163 \| 256 pages \| PDF \| ...
	Technical Partial Differential Equations V: Asymptotic Methods for Partial Differential Equations (Encyclopaedia of Mathematical Sciences) (v. 5) ISBN: 3540533710 Publisher: Springer Author: Description:The six articles in this EMS volume provide an overview of a number of contemporary techniques in the study of the asymptotic behavior of partial differential equations. These techniq ...

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