A remark on global existence for small initial data of the minimal surface equation in Minkowskian space time

被引:79
作者
Lindblad, H [1 ]
机构
[1] Univ Calif San Diego, Dept Math, La Jolla, CA 92093 USA
关键词
D O I
10.1090/S0002-9939-03-07246-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that the nonlinear wave equation corresponding to the minimal surface equation in Minkowski space time has a global solution for sufficiently small initial data.
引用
收藏
页码:1095 / 1102
页数:8
相关论文
共 19 条
[1]  
[Anonymous], 1993, J PARTIAL DIFFER EQ
[2]  
CHOQUETBRUHAT Y, 1981, ANN SCI ECOLE NORM S, V14, P481
[3]  
CHRISTODOULOU D, 1981, CR ACAD SCI I-MATH, V293, P139
[4]   GLOBAL-SOLUTIONS OF NONLINEAR HYPERBOLIC-EQUATIONS FOR SMALL INITIAL DATA [J].
CHRISTODOULOU, D .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1986, 39 (02) :267-282
[5]  
CHRISTODOULOU D, 1999, COMMUNICATION
[6]  
CHRISTODOULOU D, NONLINEAR STABILITY
[7]  
HAMILTON R, 1994, COMMUNICATION
[8]   SOME CLASSICAL-SOLUTIONS OF RELATIVISTIC MEMBRANE EQUATIONS IN 4 SPACE-TIME DIMENSIONS [J].
HOPPE, J .
PHYSICS LETTERS B, 1994, 329 (01) :10-14
[9]  
Hormander L., 1997, Mathematics 4 Applications, V26
[10]  
Hormander L, 1988, ANAL MATH APPL, P211