Existence of strong traces for generalized solutions of multidimensional scalar conservation laws

被引：71

作者：

Panov, EY ^{[1
]}

机构：

[1] Novgorod State Univ, Dept Math Anal, Velikiy Novgorod 173003, Russia

来源：

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS | 2005年 / 2卷 / 04期

关键词：

conservation laws; generalized entropy solutions; strong traces; H-measures;

D O I：

10.1142/S0219891605000658

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the half-space t > 0 a multidimensional scalar conservation law with only continuous flux vector is considered. For the wide class of functions including generalized entropy sub- and super-solutions to this equation, we prove existence of the strong trace on the initial hyperspace t = 0. No nondegeneracy conditions on the flux are required.

引用

页码：885 / 908

页数：24

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