Exponential attractors for a quasilinear parabolic equation

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2007, 2007(Special): 713-720. doi: 10.3934/proc.2007.2007.713

Exponential attractors for a quasilinear parabolic equation

Kei Matsuura ^1, and Mitsuharu Otani ^2,

1.	Advanced Research Institute for Science and Engineering, Waseda University, Tokyo, 169-8555
2.	Department of Applied Physics Waseda University, 3-4-1 Okubo Shinjuku-ku, Tokyo 169, Japan

Received September 2006 Revised July 2007 Published September 2007

Abstract
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Global attractors and exponential attractors are constructed for some quasilinear parabolic equations. The construction for the exponential attractor is carried out within the framework of the method of $l$-trajectories.

Keywords: quasilinear parabolic equation., Exponential attractor.

Mathematics Subject Classification: Primary: 37L30, ; Secondary: 35K5.

Citation: Kei Matsuura, Mitsuharu Otani. Exponential attractors for a quasilinear parabolic equation. Conference Publications, 2007, 2007 (Special) : 713-720. doi: 10.3934/proc.2007.2007.713

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