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The porous medium equation : mathematical theory
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The porous medium equation : mathematical theory

著者： J L Vazquez
出版商： Oxford : Clarendon, 2007.
丛书： Oxford mathematical monographs.
版本/格式：  图书 : 英语查看所有的版本和格式
提要：
Aimed at research students and academics in mathematics and engineering, as well as engineering specialists, this book provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation.
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材料类型： 互联网资源
文件类型： 书, 互联网资源
所有的著者/提供者： J L Vazquez
ISBN: 9780198569039 0198569033
OCLC号码： 70059580
描述： xxii, 624 p. : ill. ; 24 cm.
内容： Main applications --
Preliminaries and basic estimates --
The Dirichlet problem I : weak solutions --
The Dirichlet problem II : limit solutions, very weak solutions, and some other variants --
Continuity of local solutions --
The Dirichlet problem III : strong solutions --
Cauchy problem : L1-theory --
The PME as an abstract evolution equation : semigroup approach --
The Neumann problem and problems on manifolds --
The Cauchy problem with growing initial data --
Optimal existence theory for non-negative solutions --
Propagation properties --
One-dimensional theory : regularity and interfaces --
Full analysis of self-similarity --
Techniques of symmetrization and concentration --
Asymptotic behaviour I : the Cauchy problem --
Regularity and finer asymptotics in several dimensions --
Asymptotic behaviour II : Dirichlet and Neumann problems.
丛书名： Oxford mathematical monographs.
责任： Juan Luis Vázquez.
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Aimed at research students and academics in mathematics and engineering, as well as engineering specialists, this book provides a systematic and comprehensive presentation of the mathematical theory  再读一些...

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The author of this monograph skillfully guides the reader, whether mathematician or physicist, through the background needed to understand and use the modern techniques developed...This book is a 再读一些...

 
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