ANALYTICITY AND GLOBAL EXISTENCE OF SMALL SOLUTIONS TO SOME NONLINEAR SCHRODINGER-EQUATIONS

被引：34
|
作者：
HAYASHI, N
SAITOH, S
机构：
[1] Department of Mathematics, Faculty of Engineering, Gunma University, Kiryu
来源：
COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1990年 / 129卷 / 01期
关键词：
D O I：
10.1007/BF02096777
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this paper we will study the nonlinear Schrödinger equations: {Mathematical expression}. It is shown that the solutions of (*) exist and are analytic in space variables for t∈ℝ{set minus}{0} if φ(x) (∈H2 n+1,2(ℝxn)) decay exponentially as |x|→∞ and n≧2. © 1990 Springer-Verlag.
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页码：27 / 41
页数：15
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