Compactness and Sobolev-Poincaré inequalities for solutions of kinetic equations

Myriam Lecumberry

Contact the author: Please use for correspondence this email.
Submission date: 04. May. 2005
Pages: 31
published in: Zeitschrift fuer Analysis und ihre Anwendungen, 25 (2006) 1, p. 23-49 
DOI number (of the published article): 10.4171/ZAA/1276
Bibtex
MSC-Numbers: 35B65, 35D10, 35Lxx
Keywords and phrases: kinetic equations, sobolev spaces, littlewood-paley decomposition
Download full preprint: PDF (410 kB), PS ziped (241 kB)

Abstract:
In this paper, we prove a regularity result on the velocity averages of the solutions of kinetic equations whose data have a Sobolev regularity (, sp<1)in the velocity variable. Namely, the velocity averages have the same Sobolev regularity in the space-time variable.