GLOBAL ATTRACTOR FOR A ONE DIMENSIONAL WEAKLY DAMPED HALF-WAVE EQUATION

被引：0

作者：

Alouini, Brahim ^{[1
]}

机构：

[1] Fac Sci Monastir, Lab Rech Anal Probabilite & Fractals, Ave Environm, Monastir 5019, Tunisia

来源：

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

关键词：

Schrodinger Equation; Half-Wave Equation; Global Attractor; BOSE-EINSTEIN EQUATION; WELL-POSEDNESS; INEQUALITY; GUIDE;

D O I：

10.3934/dcdss.2020410

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the asymptotic behavior of the solutions for the fractional nonlinear Schrodinger equation that reads u(t) - iDu + i(g)(vertical bar u vertical bar(2))u+gamma u = f. We prove that this behavior is characterized by the existence of a compact global attractor in the appropriate energy space.

引用

页码：2655 / 2670

页数：16

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