Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms

被引：37

作者：

Caraballo, Tomas ^{[1
]}

Herrera-Cobos, Marta ^{[1
]}

Marin-Rubio, Pedro ^{[1
]}

机构：

[1] Univ Seville, Dpto Ecuac Diferenciales & Anal Numer, E-41080 Seville, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 121卷

关键词：

Nonlocal diffusion; Nonlocal terms; Pullback attractors; Regularity of attractors; PULLBACK ATTRACTORS; 2D-NAVIER-STOKES EQUATIONS;

D O I：

10.1016/j.na.2014.07.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to study the asymptotic behavior of a time-dependent parabolic equation with nonlocal diffusion and nonlinear terms with sublinear growth. Namely, we extend some previous results from the literature, obtaining existence, uniqueness, and continuity results, analyzing the stationary problem and decay of the solutions of the evolutionary problem, and finally, under more general assumptions, ensuring the existence of pullback attractors for the associated dynamical system in both L-2 and H-1 norms. Relationships among these objects are established using regularizing properties of the equation. (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：3 / 18

页数：16

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