Geodesic
Global attractors for a class of degenerate diffusion equations
Electronic journal of differential equations, Tome 2003 (2003)
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 
@article{EJDE_2003__2003__a51,
     author = {Takeuchi,  Shingo and Yokota,  Tomomi},
     title = {Global attractors for a class of degenerate diffusion equations},
     journal = {Electronic journal of differential equations},
     year = {2003},
     volume = {2003},
     zbl = {1049.35115},
     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/