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On Global Attractors for a Class of Parabolic Problems |
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PP: 493-500 |
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Author(s) |
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Rodiak Figueroa-López,
German Lozada-Cruz,
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Abstract |
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| This paper is devoted to study the existence of global attractor in H1
0 (W) and uniform bounds of it in L¥(W) for a class of
parabolic problems with homogeneous boundary conditions wich involves a uniform strongly elliptic operator of second order in the
domain W ⊂ Rn. The main tools used to prove the existence of global attractor are the techniques used in Hale [8] and Cholewa [5],
and for the uniform bound of the attractor we use the Alikakos-Moser iteration procedure [1]. |
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