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Entropy Methods for Diffusive Partial Differential Equations

Entropy Methods for Diffusive Partial Differential Equations( )
Author: Jüngel, Ansgar
Series title:SpringerBriefs in Mathematics Ser.
ISBN:978-3-319-34219-1
Publication Date:Jun 2016
Publisher:Springer
Book Format:Ebook
List Price:USD $54.99
Book 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...
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