Asymptotic behavior for a dissipative nonlinear Schrodinger

被引：21

作者：

Cazenave, Thierry ^{[1
,2
]}

Han, Zheng ^{[3
]}

Naumkin, Ivan ^{[4
]}

机构：

[1] Sorbonne Univ, BC 187,4 Pl Jussieu, F-75252 Paris 05, France

[2] CNRS, Lab Jacques Louis Lions, BC 187,4 Pl Jussieu, F-75252 Paris 05, France

[3] Hangzhou Normal Univ, Dept Math, Hangzhou 311121, Peoples R China

[4] Univ Nacl Autonoma Mexico, Dept Fis Matemat, Inst Invest Matemat Aplicadas & Sistemas, Apartado Postal 20-126, Ciudad De Mexico 01000, Mexico

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2021年 / 205卷

关键词：

Nonlinear Schrodinger equation; Dissipative nonlinearity; Asymptotic behavior;

D O I：

10.1016/j.na.2020.112243

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the Schrodinger equation with nonlinear dissipation i partial derivative(t)u + Delta u = lambda vertical bar u vertical bar(alpha)u in R-N, N >= 1, where lambda is an element of C with I lambda < 0. Assuming 2/N+2 < alpha < 2/N, we give a precise description of the long-time behavior of the solutions (including decay rates in L-2 and L-infinity, and asymptotic profile), for a class of arbitrarily large initial data. (C) 2021 Elsevier Ltd. All rights reserved.

引用

页数：37

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