Dynamics around the ground state of a nonlinear evolution equation

被引：33

作者：

Esquivel-Avila, Jorge A. ^{[1
]}

机构：

[1] UAM Azcapotzalco, Dept Ciencias Basicas Anal Matemat & Sus Aplicac, Mexico City 02200, DF, Mexico

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 63卷 / 5-7期

关键词：

Evolution equation; Blowup; Boundedness; Asymptotic behavior; Backwards solutions;

D O I：

10.1016/j.na.2005.02.108

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We analyze the qualitative behavior of solutions forwards and backwards. We present characterizations of blowup, boundedness and convergence to the ground state as t -> +/-infinity. We define and use a potential well and several invariant and positive invariant sets. (C) 2005 Elsevier Ltd. All rights reserved.

引用

收藏

页码：E331 / E343

页数：13

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