Geodesic
Global attractors for a class of degenerate diffusion equations
Electronic Journal of Differential Equations, Tome 2003 (2003).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 35K65, 37L30
Keywords: global attractors, p-Laplacian, degenerate diffusion 
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     author = {Takeuchi, Shingo and Yokota, Tomomi},
     title = {Global attractors for a class of degenerate diffusion equations},
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     volume = {2003},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a51/}
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Takeuchi, Shingo; Yokota, Tomomi. Global attractors for a class of degenerate diffusion equations. Electronic Journal of Differential Equations, Tome 2003 (2003). http://geodesic.mathdoc.fr/item/EJDE_2003__2003__a51/