Functional inequalities and dynamics

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Scopus citations


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
Number of pages69
ISBN (Print)9783642217180
StatePublished - 2011

Publication series

NameLecture Notes in Mathematics
ISSN (Print)0075-8434

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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