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.
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页码：115 / 124
页数：10
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