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Nonlinear PDE’s and Applications pp 17–85Cite as

Functional Inequalities and Dynamics

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Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 2028))

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.

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Authors and Affiliations

  1. Department of Mathematics, Hill Center, Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ, 08854-8019, USA

    Eric A. Carlen

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  1. Eric A. Carlen
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Correspondence to Eric A. Carlen .

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Carlen, E.A. (2011). Functional Inequalities and Dynamics. In: Nonlinear PDE’s and Applications. Lecture Notes in Mathematics(), vol 2028. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21861-3_2

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