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Article Dans Une Revue Comptes Rendus. Mathématique Année : 2012

A functional framework for the Keller-Segel system: logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities

Résumé

This note is devoted to several inequalities deduced from a special form of the logarithmic Hardy-Littlewood-Sobolev, which is well adapted to the characterization of stationary solutions of a Keller-Segel system written in self-similar variables, in case of a subcritical mass. For the corresponding evolution problem, such functional inequalities play an important role for identifying the rate of convergence of the solutions towards the stationary solution with same mass.
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Dates et versions

hal-00706249 , version 1 (09-06-2012)
hal-00706249 , version 2 (09-06-2012)

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Citer

Jean Dolbeault, Juan Campos Serrano. A functional framework for the Keller-Segel system: logarithmic Hardy-Littlewood-Sobolev and related spectral gap inequalities. Comptes Rendus. Mathématique, 2012, 350 (21-22), pp.949-954. ⟨hal-00706249v2⟩
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