Attractors of the non-autonomous reaction-diffusion equation with nonlinear boundary condition

被引：14
|
作者：
Yang, Lu [2 ]
Yang, Mei-Hua [1 ]
机构：
[1] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2010年 / 11卷 / 05期
关键词：
Reaction-diffusion equation; Nonlinear boundary condition; Nonlinear balance conditions; Uniform attractor; PARABOLIC PROBLEMS; BLOW-UP; GLOBAL ATTRACTORS; EXISTENCE;
D O I：
10.1016/j.nonrwa.2010.03.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the long-time behavior of the non-autonomous reaction-diffusion equation with nonlinear boundary condition and competing nonlinearities. Under the balance conditions between internal and boundary nonlinear terms, which have been proved in Rodriguez-Bernal and Tajdine (2001) [21] to prevent solution from blow-up, we prove the existence of a compact uniform attractor in Lp+1(Omega) where p > 1 is the growing exponent of internal nonlinearity. (C) 2010 Elsevier Ltd. All rights reserved.
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页码：3946 / 3954
页数：9
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