GLOBAL EXISTENCE OF SMALL SOLUTIONS TO QUADRATIC NONLINEAR SCHRODINGER-EQUATIONS

被引：33
作者：
HAYASHI, N
机构：
[1] Department of Mathematics, Faculty of Engineering, Gunma University
来源：
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS | 1993年 / 18卷 / 7-8期
关键词：
D O I：
10.1080/03605309308820965
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the global existence of small solutions to some quadratic nonlinear Schrodinger equations in three or four space dimensions.
引用
收藏
页码：1109 / 1124
页数：16
相关论文
共 9 条
[1]  
Friedman A., 1983, PARTIAL DIFFERENTIAL
[2]   GLOBAL EXISTENCE OF SMALL ANALYTIC SOLUTIONS TO NONLINEAR SCHRODINGER-EQUATIONS [J].
HAYASHI, N .
DUKE MATHEMATICAL JOURNAL, 1990, 60 (03) :717-727
[3]  
HAYASHI N, 1991, GLOBAL EXISTANCE SMA, V2
[4]   GLOBAL, SMALL AMPLITUDE SOLUTIONS TO NON-LINEAR EVOLUTION-EQUATIONS [J].
KLAINERMAN, S ;
PONCE, G .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1983, 36 (01) :133-141
[5]  
KLAINERMAN S, 1982, ARCH RATION MECH AN, V78, P73
[6]   GLOBAL EXISTENCE OF SMALL AMPLITUDE SOLUTIONS TO NONLINEAR KLEIN-GORDON EQUATIONS IN 4 SPACE-TIME DIMENSIONS [J].
KLAINERMAN, S .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1985, 38 (05) :631-641
[7]   NORMAL FORMS AND QUADRATIC NONLINEAR KLEIN-GORDON EQUATIONS [J].
SHATAH, J .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1985, 38 (05) :685-696
[8]   GLOBAL EXISTENCE OF SMALL SOLUTIONS TO NON-LINEAR EVOLUTION-EQUATIONS [J].
SHATAH, J .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1982, 46 (03) :409-425
[9]   NON-LINEAR SCATTERING-THEORY AT LOW-ENERGY [J].
STRAUSS, WA .
JOURNAL OF FUNCTIONAL ANALYSIS, 1981, 41 (01) :110-133
1