Asymptotic regularity and attractors of the reaction-diffusion equation with nonlinear boundary condition

被引：6

作者：

Yang, Lu ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2012年 / 13卷 / 03期

关键词：

Reaction-diffusion equation; Nonlinear boundary condition; Asymptotic regularity; Attractors; Nonlinear balance conditions; PARABOLIC PROBLEMS; BLOW-UP; GLOBAL ATTRACTORS; EXISTENCE;

D O I：

10.1016/j.nonrwa.2011.02.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the dynamical behavior of the reaction-diffusion equation with nonlinear boundary condition for both autonomous and non-autonomous cases. For the autonomous case, under the assumption that the internal nonlinear term f is dissipative and the boundary nonlinear term g is non-dissipative, the asymptotic regularity of solutions is proved. For the non-autonomous case, we obtain the existence of a compact uniform attractor in H-1 (Omega) with dissipative internal and boundary nonlinearities. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：1069 / 1079

页数：11

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