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The porous medium equation : mathematical theory

Author: J L Vazquez
Publisher: Oxford : Clarendon, 2007.
Series: Oxford mathematical monographs.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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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Genre/Form: Electronic books
Additional Physical Format: Print version:
Vazquez, J.L. (Juan Luis).
Porous medium equation.
Oxford : Clarendon, 2007
(DLC) 2007273226
(OCoLC)70059580
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: J L Vazquez
ISBN: 9780191513831 0191513830 9780198569039 0198569033 9781429469289 1429469285
OCLC Number: 132688002
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011. MiAaHDL
Description: 1 online resource (xxii, 624 pages) : illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: 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.
Series Title: Oxford mathematical monographs.
Responsibility: Juan Luis Vázquez.
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Abstract:

This monograph provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation. Each chapter is supplied with  Read more...

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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 Read more...

 
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