Strong traces for solutions to scalar conservation laws with general flux

被引：28

作者：

Kwon, Young-Sam ^{[1
]}

Vasseur, Alexis ^{[1
]}

机构：

[1] Univ Texas, Dept Math, Austin, TX 78712 USA

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2007年 / 185卷 / 03期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/s00205-007-0055-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider bounded weak solutions u of scalar conservation laws, not necessarily of class BV, defined in a subset ohm R+ x R. We define a strong notion of trace at the boundary of ohm reached by L-1 convergence for a large class of functionals of u, G(u). The functionals G depend on the flux function of the conservation law and on the boundary of ohm. The result holds for a general flux function and a general subset.

引用

页码：495 / 513

页数：19

共 19 条

[1]

AGOSHKOV VI, 1984, DOKL AKAD NAUK SSSR+, V276, P1289

[2]

BUERGER, IN PRESS J MATH APPL

[3] Divergence-measure fields and hyperbolic conservation laws [J].