P. E. Jabin

Averaging lemmas and dispersion estimates for kinetic equations

Pages 71-138
Received: 29 July 2008
Accepted: 20 January 2009
Mathematics Subject Classification (2000): 35B65 - 82C40 - 47G10

Keywords: Regularizing effects, averaging lemmas, dispersion estimates, conservation laws.

Abstract: Averaging lemmas consist in a regularizing effect on the average of the solution to a linear kinetic equation. Some of the main results are reviewed and their proofs presented in as self contained a way as possible. The use of kinetic formulations for the well posedness of scalar conservation laws is eventually explained as an example of application.