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
收藏
页码：2655 / 2670
页数：16
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