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

被引：10

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

页码：2339 / 2351

页数：13

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