ASYMPTOTIC BEHAVIOR OF THE NON-AUTONOMOUS REACTION-DIFFUSION EQUATION WITH ROBIN BOUNDARY CONDITION

被引：0

作者：

Ozturk, Eylem ^{[1
]}

机构：

[1] Hacettepe Univ, Dept Math, TR-06800 Ankara, Turkey

来源：

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS | 2019年 / 68卷 / 01期

关键词：

Reaction-diffusion equation; Robin boundary value; existence and uniqueness theorems; uniform attractor; process; PARABOLIC PROBLEMS; GLOBAL ATTRACTORS; REGULARITY; SYSTEMS; SYMBOLS;

D O I：

10.31801/cfsuasmas.425500

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we investigate the long-time behavior of the timedependent reaction-diffusion equation ut-Delta u+a(x)vertical bar u vertical bar(rho) u-b(x)vertical bar u vertical bar(nu)u - h(x, t) with Robin boundary condition. We begin this paper with the existence and uniqueness results of the solution to the problem. For the asymptotic behavior, we.rstly prove the existence of an absorbing set in W-2(1) (Omega) boolean AND L rho+2(Omega). The existence of a uniform attractor is obtained in W-2(1) (Omega) boolean AND L rho+2(Omega).

引用

页码：422 / 440

页数：19

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