Sharp conditions of global existence for nonlinear Schrodinger and Klein-Gordon equations

被引：131

作者：

Zhang, J

机构：

[1] Univ Tokyo, Dept Math Sci, Meguro Ku, Tokyo 153, Japan

[2] Sichuan Normal Univ, Dept Math, Chengdu 610068, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 48卷 / 02期

关键词：

nonlinear Schrodinger equation; nonlinear Klein-Gordon equation; ground state; global existence; blowup;

D O I：

10.1016/S0362-546X(00)00180-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Global existence for the Cauchy problems of nonlinear Schrodinger and Klein-Gordon equations was presented. The relations between the global existence of the Cauchy problem of these equations and the ground state were observed. It was proved that the solutions of the Cauchy problem for the Schrodinger equation blow up in a finite time for a class of sufficiently large data and exist in all time for small initial data.

引用

页码：191 / 207

页数：17

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