Date
2010
Lien vers un document non conservé dans cette base
http://hal.archives-ouvertes.fr/hal-00444392/fr/
Indexation documentaire
Analyse
Subject
Self-similar solutions; $L^p$-estimates; porous medium equation; Riesz potential; fractional Laplacian
Titre du colloque
Emerging Topics in Dynamical Systems and Partial Differential Equations (DSPDES 2010)
Date du colloque
06-2010
Ville du colloque
Barcelone
Pays du colloque
Espagne
Auteur
Karch, Grzegorz
Imbert, Cyril
Biler, Piotr
Type
Communication / Conférence
Nombre de pages du document
6
Résumé en anglais
We study a generalization of the porous medium equation involving nonlocal terms. In particular, the $L^p$ decay of solutions of the Cauchy problem is proved. Explicit self-similar solutions with compact support generalizing the KZB (or Barenblatt) solutions are constructed in the case corresponding to transport equation with a nonlocal velocity.
