The Cauchy problem for non-autonomous nonlinear Schrdinger equations

被引：0
|
作者：
Peter Y. H. Pang
机构：
[1] Department of Mathematics National University of Singapore
[2] Republic of Singapore
[3] 2 Science Drive 2
[4] Singapore 117543
来源：
Science China Mathematics | 2005年 / 04期
关键词：
non-autonomous Schrodinger equations; local existence; global existence;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this paper we study the Cauchy problem for cubic nonlinear Schrodinger equation with space- and time-dependent coefficients on Rm and Tm. By an approximation argument we prove that for suitable initial values, the Cauchy problem admits unique local solutions. Global existence is discussed in the cases of m = 1,2.
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页码：522 / 538
页数：17
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