On global attractor for nonlinear parabolic equations of m-Laplacian type

被引:23
|
作者
Nakao, Mitsuhiro [1 ]
Aris, Naimah [1 ]
机构
[1] Kyushu Univ, Grad Sch Math, Fukuoka 8108560, Japan
关键词
global attractor; nonlinear parabolic equations; m-Laplacian;
D O I
10.1016/j.jmaa.2006.08.044
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Existence and some regularity results of global attractor in L-q, q >= 1, for m-Laplacian type quasilinear parabolic equation with a perturbation like a(x)(vertical bar u vertical bar(alpha)u - vertical bar u vertical bar(beta)u) + f (x) with alpha > beta >= 0, a(x) >= 0 are proved. For the proofs Moser's technique is used extensively. (c) 2006 Elsevier Inc. All rights reserved.
引用
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页码:793 / 809
页数:17
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