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

共 50 条

[31] BLOW-UP OF SOLUTIONS OF CAUCHY PROBLEM FOR NONLINEAR SCHRODINGER EQUATION
Sakbaev, V. Zh.
[J]. VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2013, (01): : 159 - 171
[32] Blow-up solutions to the nonlinear Schrodinger equation with oscillating nonlinearities
Damergi, Ibtissem
Goubet, Olivier
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 352 (01) : 336 - 344
[33] Blow-up solutions to nonlinear Schrodinger system at multiple points
Su, Yiming
Guo, Qing
[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (01):
[34] Blow up of solutions to the nonlinear Schrodinger equations on manifolds
Ma, Li
Zhao, Lin
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (05)
[35] STABILIZING BLOW UP SOLUTIONS TO NONLINEAR SCHRODINGER EQUATIONS
Di Menza, Laurent
Goubet, Olivier
[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2017, 16 (03) : 1059 - 1081
[36] Blow-up solutions to a system of nonlinear Volterra equations
Mydlarczyk, W
Okrasinski, W
Roberts, CA
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 301 (01) : 208 - 218
[37] Blow-up of solutions of some nonlinear wave equations
Galakhov, E. I.
[J]. DIFFERENTIAL EQUATIONS, 2009, 45 (01) : 59 - 67
[38] BLOW-UP OF SOLUTIONS FOR A SYSTEM OF NONLINEAR PARABOLIC EQUATIONS
Wu, Shun-Tang
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[39] Blow-up of solutions for a class of nonlinear parabolic equations
Zhang Lingling
[J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2006, 25 (04): : 479 - 486
[40] BLOW-UP OF SOLUTIONS OF NONLINEAR HEAT-EQUATIONS
CAFFARRELLI, LA
FRIEDMAN, A
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1988, 129 (02) : 409 - 419

← 1 2 3 4 5 →