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 publiéExternal document link
http://hal.archives-ouvertes.fr/hal-00122415Date
2008Journal name
Potential AnalysisVolume
28Number
1Publisher
Springer
Pages
35-39
Publication identifier
Metadata
Show full item recordAbstract (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; AnalysisRelated items
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