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
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.
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页码：495 / 513
页数：19
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