A PROOF OF THE SMOOTHING PROPERTIES OF THE POSITIVE PART OF BOLTZMANNS KERNEL

Authors
BOUCHUT F DESVILLETTES L
Citation
F. Bouchut et L. Desvillettes, A PROOF OF THE SMOOTHING PROPERTIES OF THE POSITIVE PART OF BOLTZMANNS KERNEL, Revista matematica iberoamericana, 14(1), 1998, pp. 47-61
Citations number
11
Categorie Soggetti
Mathematics,Mathematics
Journal title
Revista matematica iberoamericana → ACNP
ISSN journal
02132230
Volume
14
Issue
1
Year of publication
1998
Pages
47 - 61
Database
ISI
SICI code
0213-2230(1998)14:1<47:APOTSP>2.0.ZU;2-X
Abstract
We give two direct proofs of Sobolev estimates for the positive part o f Boltzmann's kernel. The first deals with a cross section with separa ted variables; no derivative is needed in this case. The second is con cerned with a general cross section having one derivative in the angul ar variable.