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On the finite dimension of attractors of parabolic problems in IRN with general potentials

Arrieta Algarra, José María and Moya , Nancy and Rodríguez Bernal, Aníbal (2008) On the finite dimension of attractors of parabolic problems in IRN with general potentials. Nonlinear Analysis: Theory, Methods & Applications, 68 (5). pp. 1082-1099. ISSN 0362-546X

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Abstract

We prove that compact attractors of nonlinear parabolic problems with general potentials have finite fractal and Haussdorf dimension. The linear potentials belong to the space of locally uniform functions in and, unlike other references, they are allowed to change sign.


Item Type:Article
Uncontrolled Keywords:Attractors; Finite dimension; Unbounded domain; Uniform differentiability
Subjects:Sciences > Mathematics > Differential equations
ID Code:13275
Deposited On:14 Sep 2011 07:43
Last Modified:06 Feb 2014 09:45

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