The global Cauchy problems for the nonlinear dispersive equations on modulation spaces

被引：9

作者：

Kato, Tomoya ^{[1
]}

机构：

[1] Nagoya Univ, Grad Sch Math, Chikusa Ku, Furocho, Nagoya, Aichi 4648602, Japan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 413卷 / 02期

关键词：

Decay estimates; Nonlinear dispersive equation; Modulation spaces; Cauchy problem; SCHRODINGER; DECOMPOSITION;

D O I：

10.1016/j.jmaa.2013.12.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we discuss decay estimates and Strichartz estimates for dispersive equations with non-homogeneous symbols on modulation spaces M-p,q(s) to obtain the global well-posedness of the Cauchy problems for nonlinear dispersive equations. As a result, we have a generalization of the result in [19] which treated the Schrodinger equations with a nonlinearity of wider class. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：821 / 840

页数：20