INFINITE-DIMENSIONAL ATTRACTORS FOR EVOLUTION EQUATIONS WITH p-LAPLACIAN AND THEIR KOLMOGOROV ENTROPY

被引：0
|
作者：
Efendiev, Messoud A. [1 ]
Otani, Mitsuharu [2 ]
机构：
[1] Tech Univ Munich, Ctr Math Sci, D-85747 Garching, Germany
[2] Waseda Univ, Dept Appl Phys, Sch Sci & Engn, Shinjuku Ku, Tokyo 1698555, Japan
来源：
DIFFERENTIAL AND INTEGRAL EQUATIONS | 2007年 / 20卷 / 11期
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D O I：
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中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we give a detailed study on the attractors for the parabolic equations in bounded domains involving p-Laplacian as the principal term. Not only the existence of attractors but also their new properties are presented, which cannot be observed for the non-degenerate parabolic equations. In particular, we construct infinite-dimensional attractors whose epsilon-Kolmogorov entropy behave as the polynomial of 1/epsilon as epsilon tends to zero.
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页码：1201 / 1209
页数：9
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