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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

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.

Received:
May 4, 2005
Published:
May 4, 2005
MSC Codes:
35B65, 35D10, 35Lxx
Keywords:
kinetic equations, sobolev spaces, littlewood-paley decomposition

Related publications

inJournal
2006 Repository Open Access
Myriam Lecumberry

Compactness and Sobolev-Poincaré inequalities for solutions of kinetic equations

In: Zeitschrift fuer Analysis und ihre Anwendungen, 25 (2006) 1, pp. 23-49