A proof of the smoothing properties of the positive part of Boltzmann's kernel
François Bouchut
Ecole Normale Superieure, Paris, FranceLaurent Desvillettes
CMLA-ENS, Cachan, France
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Abstract
We give two direct proofs of Sobolev estimates for the positive part of Boltzmanns kernel. The first deals with a cross section with separated variables; no derivative is needed in this case. The second is concerned with a general cross section having one derivative in the angular variable.
Cite this article
François Bouchut, Laurent Desvillettes, A proof of the smoothing properties of the positive part of Boltzmann's kernel. Rev. Mat. Iberoam. 14 (1998), no. 1, pp. 47–61
DOI 10.4171/RMI/233