Entropy Methods for Diffusive Partial Differential Equations (eBook, PDF)
Ansgar Jüngel
eBook, PDF

Entropy Methods for Diffusive Partial Differential Equations (eBook, PDF)

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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 resea...

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