Global attractors for a class of degenerate diffusion equations

Date

2003-07-11

Authors

Takeuchi, Shingo
Yokota, Tomomi

Journal Title

Journal ISSN

Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

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.

Description

Keywords

Global attractors, p-Laplacian, Degenerate diffusion

Citation

Takeuchi, S., & Yokota, T. (2003). Global attractors for a class of degenerate diffusion equations. <i>Electronic Journal of Differential Equations, 2003</i>(76), pp. 1-13.

Rights

Attribution 4.0 International

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