摘要
本文考虑一阶非齐次拟线性双曲组具有一种非光滑初始数据的Cauchy问题。在非齐次项满足匹配条件的假设下,得到了此问题存在唯一的整体弱间断解的充要条件。
Under the assumption that the inhomogeneous term satisfies the matching condition, we obtain a necessary and sufficient condition to guarantee the existence and uniqueness of global weakly discontinuous solutions to the Cauchy problem with a kind of non-smooth initial data for inhomogeneous quasilinear hyperbolic systems.
出处
《工程数学学报》
CSCD
北大核心
2007年第3期414-430,共17页
Chinese Journal of Engineering Mathematics
基金
This research is supported by NNSFC (10471075).
关键词
非齐次拟线性双曲组
初值问题
整体弱间断解
弱线性退化
匹配条件
inhomogeneous quasilinear hyperbolic system
Cauchy problem
global weakly discontinuous solution
weak linear degeneracy
matching condition
