Existence of a global attractor for the parabolic equation with nonlinear Laplacian principal part in an unbounded domain

被引：42

作者：

Khanmamedov, AK ^{[1
]}

机构：

[1] Univ Hacettepe, Fac Sci, Dept Math, TR-06532 Ankara, Turkey

[2] Natl Acad Sci Azerbaijan, Inst Math & Mech, Baku 370602, Azerbaijan

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 316卷 / 02期

关键词：

global attractors; asymptotic compactness;

D O I：

10.1016/j.jmaa.2005.05.003

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 solutions for the parabolic equation with non-linear Laplacian principal part in Rn. We prove the existence of a global (L2 (Rn), L∞ (Rn))-attractor when n ≤ p and the existence of a global (L2(Rn), Lnp/(n-p) (Rn))-attractor when n > p. © 2005 Elsevier Inc. All rights reserved.

引用

页码：601 / 615

页数：15

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