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. Electronic Journal of Differential Equations, 2003(76), pp. 1-13.
Rights
Attribution 4.0 International