Global Well-Posedness and Analytic Smoothing Effect for the Dissipative Nonlinear Schrodinger Equations

被引：9
|
作者：
Hoshino, Gaku [1 ]
机构：
[1] Osaka Univ, Toyonaka, Osaka 5600043, Japan
来源：
JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2019年 / 31卷 / 04期
关键词：
Nonlinear Schrodinger equations; Global well-posedness; Sobolev space of fractional order; Large data; Analytic smoothing effect; SPACE;
D O I：
10.1007/s10884-018-9709-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the global Cauchy problem for the nonlinear Schrodinger equations in the Sobolev space of fractional order. In particular, we show the global well-posedness and the analytic smoothing effect for global solutions to a dissipative nonlinear Schrodinger equation for large data by applying a priori estimate in the Sobolev space of fractional order.
引用
收藏
页码：2339 / 2351
页数：13
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