A limiting case for velocity averaging

被引：79

作者：

Perthame, B

Souganidis, PE

机构：

[1] Univ Paris 06, Anal Numer Lab, F-75252 Paris 05, France

[2] Univ Wisconsin, Dept Math, Madison, WI 53706 USA

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 1998年 / 31卷 / 04期

关键词：

D O I：

10.1016/S0012-9593(98)80108-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We complete the theory of velocity averaging lemmas for transport equations by studying the limiting case of a full space derivative in the source term. Although the compactness of averages does not hold any longer, a specific estimate remains, which shows compactness of averages in more general situations than those previously known. Our method is based on Calderon-Zygmund theory. (C) Elsevier, Paris.

引用

页码：591 / 598

页数：8

共 15 条

[1]

Agoshkov V.I., 1984, SOVIET MATH DOKL, V29, P662

[2] THE NONACCRETIVE RADIATIVE-TRANSFER EQUATIONS - EXISTENCE OF SOLUTIONS AND ROSSELAND APPROXIMATION [J].