Global Weakly Discontinuous Solutions for Inhomogeneous Quasilinear Hyperbolic Systems with Characteristics with Constant Multiplicity

被引：0

作者：

Fei GUO School of Mathematical Sciences and Jiangsu Key Laboratory for NSLSCS

机构：

来源：

Journal of Mathematical Research with Applications | 2012年 / 06期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

inhomogeneous quasilinear hyperbolic system; characteristic with constant multiplicity; Cauchy problem; global weakly discontinuous solution; weak linear degeneracy; matching condition;

D O I：

暂无

中图分类号：

O175.27 [双曲型方程];

学科分类号：

070104 ;

摘要：

This paper considers the Cauchy problem with a kind of non-smooth initial data for general inhomogeneous quasilinear hyperbolic systems with characteristics with constant multiplicity. Under the matching condition, based on the refined fomulas on the decomposition of waves, we obtain a necessary and sufficient condition to guarantee the existence and uniqueness of global weakly discontinuous solution to the Cauchy problem.

引用

页码：699 / 714

页数：16

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