On Global Attractors for a Class of Parabolic Problems

Authors

Rodiak Figueroa-L?pez, Departamento de Matem´atica, IBILCE, UNESP - Universidade Estadual Paulista, 15054-000 S?ao Jos´e do Rio Preto, S?ao Paulo, BrasilFollow
German Lozada-Cruz

Author Country (or Countries)

Brasil

Abstract

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].

Suggested Reviewers

N/A

Digital Object Identifier (DOI)

http://dx.doi.org/10.12785/amis/080206

Recommended Citation

Figueroa-L?pez, Rodiak and Lozada-Cruz, German (2014) "On Global Attractors for a Class of Parabolic Problems," Applied Mathematics & Information Sciences: Vol. 08: Iss. 2, Article 6.
DOI: http://dx.doi.org/10.12785/amis/080206
Available at: https://digitalcommons.aaru.edu.jo/amis/vol08/iss2/6