A note on blow-up phenomenon of classical solutions to quasilinear hyperbolic systems

被引:9
作者
Kong, DX [1 ]
Li, TT
机构
[1] Shanghai Jiao Tong Univ, Dept Appl Math, Shanghai 200030, Peoples R China
[2] Fudan Univ, Dept Math, Shanghai 200433, Peoples R China
关键词
quasilinear hyperbolic system; classical solution; blow-up rate; measure of the set of blow-up points;
D O I
10.1016/S0362-546X(01)00121-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The blow-up phenomenon of classical solutions to quasilinear hyperbolic systems was studied. The neighbourhood of the system was assumed to be strictly hyperbolic. The n distinct real eigenvalues were assumed to have the same regularity.
引用
收藏
页码:535 / 539
页数:5
相关论文
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JOHN F, 1990, PITCHER LECT MATH SC
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Kong, DX .
CHINESE ANNALS OF MATHEMATICS SERIES B, 2000, 21 (04) :413-440
[3]  
Li TT, 1997, NONLINEAR ANAL-THEOR, V28, P1299
[4]   Breakdown of classical solutions to quasilinear hyperbolic systems [J].
Li, TT ;
Kong, DX .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 40 (1-8) :407-437