Shingo Takeuchi & Tomomi Yokota
Abstract:
In this paper we give two existence results for a class of
degenerate diffusion equations with p-Laplacian.
One is on a unique global strong solution, and the other is
on a global attractor. It is also shown that the global attractor
coincides with the unstable set of the set of all stationary solutions.
As a by-product, an a-priori estimate for solutions
of the corresponding elliptic equations is obtained.
Submitted January 29, 2003. Revised May 8, 2003. Published July 11, 2003.
Math Subject Classifications: 35K65, 37L30.
Key Words: Global attractors, p-Laplacian, degenerate diffusion.
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Shingo Takeuchi Department of General Education Kogakuin University 2665-1 Nakano-machi Hachioji-shi, Tokyo 192-0015, Japan email: shingo@cc.kogakuin.ac.jp |
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Tomomi Yokota Department of Mathematics Tokyo University of Science 26 Wakamiya-cho Shinjuku-ku, Tokyo 162-0827, Japan email: yokota@rs.kagu.tus.ac.jp |
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