Entropy methods for diffusive partial differential equations

Entropy methods for diffusive partial differential equations

by Jüngel, Ansgar

Type Book
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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 …

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Title Statements

  • Full title :Entropy methods for diffusive partial differential equations / by Ansgar Jüngel.

Summary

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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Edition Statements

  • Publication Date:©2016

Publication Statements

The Physical Object

  • Description:1 v. (VIII-139 p.) : : couv. illustrations en coul. ; : 24 cm

Edition Identifiers

  • ISBN:9783319342184, 3319342185
  • oclc:ocn958930816
  • LC Classification:QA370-380
  • Dewey Decimal:515.353

Subjects

Analyse fonctionnelle applied mathematics Difference and Functional Equations Difference equations Differential Equations, Partial Équations aux dérivées partielles Équations aux différences Équations différentielles fonctionnelles Équations fonctionnelles Functional analysis Functional equations mathematics Mathématiques

Writers

Jüngel, Ansgar

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