Nonlinear Evolution Equations: 1st Edition (Hardback) book cover

Nonlinear Evolution Equations

1st Edition

By Songmu Zheng

Chapman and Hall/CRC

304 pages

Purchasing Options:$ = USD
Hardback: 9781584884521
pub: 2004-07-08
$170.00
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eBook (VitalSource) : 9780429208935
pub: 2004-07-08
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Description

Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator methods, the monotone iterative method and invariant regions, the global existence and uniqueness theory for small initial data, and the asymptotic behavior of solutions and global attractors. Many of the results are published in book form for the first time. Bibliographic comments in each chapter provide the reader with references and further reading materials to enable further research and study.

Table of Contents

Nonlinear evolution equations arise in many fields of outside of mathematics including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator methods, the monotone iterative method and invariant regions, and global existence and uniqueness theory for small initial data as well as the theory and method for the study of the asymptotic behavior of solutions and global attractors. Many of the results are published in book form for the first time. Bibliographic comments in each chapter provide the reader with references and further reading materials to enable further research and study.

Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
MAT037000
MATHEMATICS / Functional Analysis
SCI040000
SCIENCE / Mathematical Physics