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L^q-functional inequalities and weighted porous media equations.

Dolbeault, Jean; Gentil, Ivan; Guillin, Arnaud; Wang, Feng-Yu (2008), L^q-functional inequalities and weighted porous media equations., Potential Analysis, 28, 1, p. 35-39. http://dx.doi.org/10.1007/s11118-007-9066-0

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00122415
Date
2008
Journal name
Potential Analysis
Volume
28
Number
1
Publisher
Springer
Pages
35-39
Publication identifier
http://dx.doi.org/10.1007/s11118-007-9066-0
Metadata
Show full item record
Author(s)
Dolbeault, Jean cc
Gentil, Ivan
Guillin, Arnaud
Wang, Feng-Yu
Abstract (EN)
Using measure-capacity inequalities we study new functional inequalities, namely L^q-Poincaré inequalities and L^q-logarithmic Sobolev inequalities. As a consequence, we establish the asymptotic behavior of the solutions to the so-called weighted porous media equation for m?1, in terms of L^2-norms and entropies.
Subjects / Keywords
Equations aux dérivées partielles; Analysis

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