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.
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页码：131 / 154
页数：24
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