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MiS Preprint
41/2005
Compactness and Sobolev-Poincaré inequalities for solutions of kinetic equations
Myriam Lecumberry
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 ($W^{s,p}$, $sp<1$)in the velocity variable. Namely, the velocity averages have the same Sobolev regularity in the space-time variable.
