OPTIMAL REGULARITY OF VELOCITY AVERAGES, II

Authors
LIONS PL
Citation
Pl. Lions, OPTIMAL REGULARITY OF VELOCITY AVERAGES, II, Comptes rendus de l'Academie des Sciences. Serie I, Mathematique, 326(8), 1998, pp. 945-948
Citations number
14
Categorie Soggetti
Mathematics,Mathematics
Journal title
Comptes rendus de l'Academie des Sciences. Serie I, Mathematique → ACNP
ISSN journal
07644442
Volume
326
Issue
8
Year of publication
1998
Pages
945 - 948
Database
ISI
SICI code
0764-4442(1998)326:8<945:OROVAI>2.0.ZU;2-0
Abstract
In this Note, we complete the study of the optimality of regularity ex ponents for velocity averages of solutions of transport equations. In particular, we show that it is possible to use test functions with a l imited regularity and that, in this case, the regularity exponents obt ained by R.J. DiPerna, P -L. Lions, con Y. Meyer are optimal. (C) Acad emie des Sciences/Elsevier, Paris.