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Entropy Methods for Diffusive Partial Differential Equations

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This book presents a range of entropy methods for diffusive PDEs devised by many researchers in the course of the past few decades, which allow us to understand the qualitative behavior of solutions to diffusive equations (and Markov diffusion processes). Applications include the large-time asymptotics of solutions, the derivation of convex Sobolev inequalities, the existence and uniqueness of weak solutions, and the analysis of discrete and geometric structures of the PDEs. The purpose of the book is to provide readers an introduction to selected entropy methods that can be found in the research literature. In order to highlight the core concepts, the results are not stated in the widest generality and most of the arguments are only formal (in the sense that the functional setting is not specified or sufficient regularity is supposed). The text is also suitable for advanced master and PhD students and could serve as a textbook for special courses and seminars.

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Detail Information

Series Title

-

Call Number

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Publisher

: ., 2016

Collation

1 illustrations in colour

Language

English

ISBN/ISSN

978-3-319-34219-1

Classification

NONE

Content Type

text

Media Type

computer

Carrier Type

online resource

Edition

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Subject(s)

Differential equations
Functional Analysis
Difference and Functional Equations

Specific Detail Info

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Statement of Responsibility

Ansgar Jüngel

Other Information

Cataloger

agus

Source

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Validator

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