Nonlinear Schrodinger equations in the Sobolev space of critical order

被引：81
|
作者：
Nakamura, M [1 ]
Ozawa, T [1 ]
机构：
[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 1998年 / 155卷 / 02期
关键词：
D O I：
10.1006/jfan.1997.3236
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Cauchy problem for the nonlinear Schrodinger equations is considered in the Sobolev space H-n/2(R-n) of critical order n/2, where the embedding into L-infinity(R-n) breaks down and any power behavior of interaction works as a subcritical nonlinearity. Under the interaction of exponential type the existence and uniqueness is proved far global H-n/2-solutions with small Cauchy data. (C) 1998 Academic Press.
引用
收藏
页码：364 / 380
页数：17
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