Blow-up solutions for mixed nonlinear Schrodinger equations

被引：10

作者：

Tan, SB ^{[1
]}

机构：

[1] Xiamen Univ, Dept Math, Xiamen 361005, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2004年 / 20卷 / 01期

基金：

中国国家自然科学基金;

关键词：

existence; nonexistence; blow-tip; nonlinear Schrodinger equation;

D O I：

10.1007/s10114-003-0295-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the initial boundary-value problem for the following nonlinear evolution equation: phi(t) = ialphaphi(xx) +betaphi(2)(phi) over bar (x) + gamma\phi\(2)phi(x) + ig(\phi\(2))phi. Under certain conditions on the initial data. and the function g(s), we study the existence and nonexistence of global solution for this equation. The blow-tip solution and the blow-up time are also investigated.

引用

页码：115 / 124

页数：10

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