Blow-up solutions of inhornogeneous nonlinear Schrodinger equations on torus

被引：1

作者：

Pang, PYH

Tang, HY ^{[1
]}

Wang, YD

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Math, Beijing 100080, Peoples R China

[2] Natl Univ Singapore, Dept Math, Singapore 117543, Singapore

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 61卷 / 05期

关键词：

inhomogeneous nonlinear; Schrodinger equation; blow-up;

D O I：

10.1016/j.na.2005.01.078

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study blow-up solutions to the Cauchy problem of the inhomogeneous nonlinear Schrodinger equation partial derivative(t)u = i (f(x)Delta u + del f(x) (.) del u + k(x)vertical bar u vertical bar(2)u) on T-2. We present the L-2-concentration property for general initial data and investigate the L-2-minimality. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：839 / 855

页数：17

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