BREAKDOWN OF CLASSICAL SOLUTIONS TO CAUCHY PROBLEM FOR INHOMOGENEOUS QUASILINEAR HYPERBOLIC SYSTEMS

被引：4

作者：

Xu, Yumei ^{[1
]}

Wang, Libin ^{[2
]}

机构：

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

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

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2015年 / 46卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Quasilinear hyperbolic systems; Cauchy problem; formation of singularities; life-span; matching condition; DECAY INITIAL DATA;

D O I：

10.1007/s13226-015-0156-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the asymptotic behavior of the life-span of classical solutions to Cauchy problem for inhomogeneous quasilinear strictly hyperbolic systems with weaker decaying initial data. Under the assumption that the source term satisfies the corresponding matching condition, we obtains a blow-up result for C-1 solution to the Cauchy problem.

引用

页码：827 / 851

页数：25

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