Global attractors in Orlicz spaces for reaction-diffusion equations

被引：1
|
作者：
Zhang, Chang [1 ]
Liu, Cuncai [1 ]
Meng, Fengjuan [1 ]
机构：
[1] Jiangsu Univ Technol, Sch Math & Phys, Changzhou 213001, Jiangsu, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 123卷
关键词：
Orlicz space; Global attractor; Weak solution; BEHAVIOR;
D O I：
10.1016/j.aml.2021.107294
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the existence of global attractors in Orlicz spaces for reaction-diffusion equations without upper growth restriction on nonlinearity. Firstly, we prove the well-posedness of solutions for the equations in an Orlicz space. Secondly, the existence of (L-2(Omega), L-infinity(Omega))-bounded absorbing sets is established. Finally, we obtain the existence of global attractors in any given Orlicz space by proving the asymptotically compactness of {S(t)}t >= 0 generated by the equations. (c) 2021 Elsevier Ltd. All rights reserved.
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页数：9
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