Compactness and Sobolev-Poincaré Inequalities for Solutions of Kinetic Equations
Myriam Lecumberry
Mathematik in den Naturwissenschaften, Leipzig, Germany
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Abstract
In this paper, we prove a regularity result on the velocity averages of the solution of a kinetic equation whose data have a Sobolev regularity \vspace{-0.05cm} , , , in the velocity variable. Namely, the velocity averages have the same Sobolev regularity in the time-space variable.
Cite this article
Myriam Lecumberry, Compactness and Sobolev-Poincaré Inequalities for Solutions of Kinetic Equations. Z. Anal. Anwend. 25 (2006), no. 1, pp. 23–49
DOI 10.4171/ZAA/1276