LIFE-SPAN OF CLASSICAL SOLUTIONS OF INITIAL-BOUNDARY VALUE PROBLEM FOR FIRST ORDER QUASILINEAR HYPERBOLIC SYSTEMS

被引：0

作者：

Hong, Lu ^{[1
]}

机构：

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

来源：

JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 20卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Quasilinear hyperbolic system; mixed initial-boundary value problem; life-span; weak linear degeneracy;

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 mixed initial-boundary value problem for quasilinear hyperbolic systems with nonlinear boundary conditions in a half-unbounded domain{(t, x)vertical bar t >= 0, x >= 0}. Under the assumption that the positive eigenvalues are not all weakly linearly degenerate,we obtain the blow-up phenomenon of the first order derivatives of C-1 solution with small and decaying initial data. We also give precise estimate of the life-span of C-1 solution.

引用

页码：131 / 154

页数：24

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