Shingo Takeuchi & Tomomi Yokota
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
Hachioji-shi, Tokyo 192-0015, Japan
|Tomomi Yokota |
Department of Mathematics
Tokyo University of Science
Shinjuku-ku, Tokyo 162-0827, Japan
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