GLOBAL ATTRACTOR FOR A NONLINEAR SCHR O¨DINGER EQUATION WITH A NONLINEARITY CONCENTRATED IN ONE POINT

被引：0

作者：

Kechiche, Wided ^{[1
]}

机构：

[1] Fac Sci Monastir, Lab Rech Anal Probabilite & Fractales, Av Environm, Monastir 5000, Tunisia

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2021年 / 14卷 / 08期

关键词：

impurity concen-trated in one point; global solution; infinite dimensional dynamical system; Global attractor; nonlinear Schrodinger equation; SCHRODINGER-EQUATION; REGULARITY;

D O I：

10.3934/dcdss.2021031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the nonlinear Schro & uml;dinger equation in dimension one with a nonlinearity concentrated in one point. We prove that this equation provides an infinite dimensional dynamical system. We also study the asymptotic behavior of the dynamics. We prove the existence of a global attractor for the system.

引用

页码：3027 / 3042

页数：16

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