LIFE-SPAN OF CLASSICAL-SOLUTIONS TO FULLY NONLINEAR-WAVE EQUATIONS

被引：47
作者：
LI, TT [1 ]
YU, X [1 ]
机构：
[1] TONG JI UNIV,DEPT APPL MATH,SHANGHAI,PEOPLES R CHINA
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1991年 / 16卷 / 6-7期
关键词：
D O I：
10.1080/03605309108820785
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In an unified and simple way we get lower bounds of the life-span of classical solutions to the Cauchy problem for fully nonlinear wave equations of the form open square u = F (u, Du, D(x)Du) for the space dimension n greater-than-or-equal-to 3.
引用
收藏
页码：909 / 940
页数：32
相关论文
共 20 条
[1]  
HORMANDER L, 1985, 5 I MITT LEFFL REP
[2]  
HORMANDER L, 1988, C HONNEUR JL LIONS P
[3]  
HORMANDER L, 1988, L1 L INFINITY ESTIMA, P211
[4]  
HORMANDER L, 1989, FULLY NONLINEAR CAUC, V2
[5]   BLOW-UP FOR QUASILINEAR WAVE-EQUATIONS IN 3 SPACE DIMENSIONS [J].
JOHN, F .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1981, 34 (01) :29-51
[6]   BLOW-UP OF SOLUTIONS OF NON-LINEAR WAVE-EQUATIONS IN 3 SPACE DIMENSIONS [J].
JOHN, F .
MANUSCRIPTA MATHEMATICA, 1979, 28 (1-3) :235-268
[7]   ALMOST GLOBAL EXISTENCE TO NONLINEAR-WAVE EQUATIONS IN 3 SPACE DIMENSIONS [J].
JOHN, F ;
KLAINERMAN, S .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1984, 37 (04) :443-455
[8]  
JOHN F, 1984, NONEXISTENCE GLOBAL
[9]   ON ALMOST GLOBAL-SOLUTIONS TO QUASILINEAR WAVE-EQUATIONS IN 3 SPACE DIMENSIONS [J].
KLAINERMAN, S .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1983, 36 (03) :325-344
[10]   UNIFORM DECAY-ESTIMATES AND THE LORENTZ INVARIANCE OF THE CLASSICAL WAVE-EQUATION [J].
KLAINERMAN, S .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1985, 38 (03) :321-332
12