Entropy Methods for Diffusive Partial Differential Equations

By:

Ansgar Jungel

Format:

Paperback / softback

Series:

Springerbriefs in Mathematics

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Description

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.

Release date NZ

June 27th, 2016

Author

Ansgar Jungel

Series

Springerbriefs in Mathematics

Pages

139

Edition

1st ed. 2016

Audience

Professional & Vocational

Illustrations

1 Illustrations, color; VIII, 139 p. 1 illus. in color.

Dimensions

155x235x8

ISBN-13

9783319342184

Product ID

25218515

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