Functional inequalities and dynamics

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Abstract

We give a survey of recent results on functional inequalities and evolution equations focusing on the relations between these two subjects. We discuss the use of evolution equations to prove sharp functional inequalities, as well as the use of sharp functional inequalities to prove precise results about the behavior of solutions of evolution equations. These note are based on a series of lectures given by the author at the C.I.M.E. Summer School in June 2008.

Original languageEnglish (US)
Title of host publicationNonlinear PDE's and Applications
Subtitle of host publicationC.I.M.E. Summer School, Cetraro, Italy 2008, Editors: Luigi Ambrosio, Giuseppe Savare
PublisherSpringer Verlag
Pages17-85
Number of pages69
ISBN (Print)9783642217180
DOIs
Publication statusPublished - Jan 1 2011

Publication series

NameLecture Notes in Mathematics
Volume2028
ISSN (Print)0075-8434

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All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Carlen, E. A. (2011). Functional inequalities and dynamics. In Nonlinear PDE's and Applications: C.I.M.E. Summer School, Cetraro, Italy 2008, Editors: Luigi Ambrosio, Giuseppe Savare (pp. 17-85). (Lecture Notes in Mathematics; Vol. 2028). Springer Verlag. https://doi.org/10.1007/978-3-642-21861-3_2