REGULARITY AND FRACTAL DIMENSION OF PULLBACK ATTRACTORS FOR A NON-AUTONOMOUS SEMILINEAR DEGENERATE PARABOLIC EQUATION

被引：8

作者：

Cung The Anh ^{[1
]}

Tang Quoc Bao ^{[2
]}

Le Thi Thuy ^{[3
]}

机构：

[1] Hanoi Natl Univ Educ, Dept Math, Hanoi, Vietnam

[2] Hanoi Univ Sci & Technol, Fac Appl Math & Informat, Hanoi, Vietnam

[3] Hanoi Elect Power Univ, Dept Math, Hanoi, Vietnam

来源：

GLASGOW MATHEMATICAL JOURNAL | 2013年 / 55卷 / 02期

关键词：

EXISTENCE;

D O I：

10.1017/S0017089512000663

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Considered here is the pullback attractor of the process associated with the first initial boundary value problem for the non-autonomous semilinear degenerate parabolic equation u(t) - div(sigma(x)del u) + f (u) = g( x, t) in a bounded domain Omega in R-N( N >= 2). We prove the regularity in the space L2p-2(Omega) boolean AND D-0(2)(Omega, sigma), and estimate the fractal dimension of the pullback attractor in L-2(Omega).

引用

页码：431 / 448

页数：18

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