Finite Dimensional Global Attractor for a Fractional Schrödinger Type Equation with Mixed Anisotropic Dispersion

被引：0
作者：
Brahim Alouini
机构：
[1] University of Monastir,Research Lab 18ES17: Analysis, Probability and Fractals
[2] Faculty of Sciences of Monastir,undefined
[3] I.P.E.I. Monastir,undefined
来源：
Journal of Dynamics and Differential Equations | 2022年 / 34卷
关键词：
Schrödinger equation; Half-wave equation; Global attractor; Fractal dimension; 35B40; 35Q55; 76B03; 37L30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the Cauchy problem for a class of nonlinear damped fractional Schrödinger type equation in a two dimensional unbounded domain. Then, we focus on long-time behaviour of the solutions proving that this behaviour is described by the existence of regular finite-dimensional global attractor in the energy space.
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页码：1237 / 1268
页数：31
相关论文
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