Remarks on the blow-up boundaries and rates for nonlinear wave equations

被引：8
作者：
Ohta, M [1 ]
Takamura, H
机构：
[1] Shizuoka Univ, Fac Engn, Dept Math Appl, Hamamatsu, Shizuoka 432, Japan
[2] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 305, Japan
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1998年 / 33卷 / 07期
关键词：
nonlinear wave equation; blow-up rate; blow-up set; linearization;
D O I：
10.1016/S0362-546X(97)00670-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
[No abstract available]
引用
收藏
页码：693 / 698
页数：6
相关论文
共 7 条
[1]   THE BLOW-UP BOUNDARY FOR NONLINEAR-WAVE EQUATIONS [J].
CAFFARELLI, LA ;
FRIEDMAN, A .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1986, 297 (01) :223-241
[2]   DIFFERENTIABILITY OF THE BLOW-UP CURVE FOR ONE DIMENSIONAL NONLINEAR-WAVE EQUATIONS [J].
CAFFARELLI, LA ;
FRIEDMAN, A .
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1985, 91 (01) :83-98
[3]   THE PARTIAL DIFFERENTIAL EQUATION UT+UUX=MU-XX [J].
HOPF, E .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1950, 3 (03) :201-230
[4]   The blow-up problem for exponential nonlinearities [J].
Kichenassamy, S .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1996, 21 (1-2) :125-162
[5]   BLOW-UP SURFACES FOR NONLINEAR-WAVE EQUATIONS .1. [J].
KICHENASSAMY, S ;
LITTMAN, W .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1993, 18 (3-4) :431-452
[6]   BLOW-UP SURFACES FOR NONLINEAR-WAVE EQUATIONS .2. [J].
KICHENASSAMY, S ;
LITTMAN, W .
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1993, 18 (11) :1869-1899
[7]   GLOBAL EXISTENCE FOR NON-LINEAR WAVE-EQUATIONS [J].
KLAINERMAN, S .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1980, 33 (01) :43-101
1