GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS TO THE CAUCHY PROBLEM ON A SEMI-BOUNDED INITIAL AXIS FOR INHOMOGENEOUS QUASILINEAR HYPERBOLIC SYSTEMS

被引：0

作者：

Han Weiwei ^{[1
]}

机构：

[1] Ftidan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 20卷 / 03期

关键词：

Inhomogeneous quasilinear hyperbolic system; Cauchy problem; global classical solution; weak linear degeneracy; matching condition;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the Cauchy problem with initial data given on a semi-bounded axis for inhomogeneous quasilinear hyperbolic systems. Under the assumption that the rightmost (resp. leftmost) eigenvalue is weakly linearly degenerate and the inhomogeneous term satisfies the corresponding matching condition, we obtain the global existence and uniqueness of C-1 solution with small and decaying initial data.

引用

页码：273 / 288

页数：16

共 8 条

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