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

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Date
2008
Link to item file
http://hal.archives-ouvertes.fr/hal-00122415
Dewey
Analyse
Sujet
Equations aux dérivées partielles; Analysis
Journal issue
Potential Analysis
Volume
28
Number
1
Publication date
2008
Article pages
35-39
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s11118-007-9066-0
URI
https://basepub.dauphine.fr/handle/123456789/228
Collections
  • CEREMADE : Publications
Metadata
Show full item record
Author
Dolbeault, Jean
Gentil, Ivan
Guillin, Arnaud
Wang, Feng-Yu
Type
Article accepté pour publication ou publié
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.

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