Article ID Journal Published Year Pages File Type
844031 Nonlinear Analysis: Theory, Methods & Applications 2008 18 Pages PDF
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 RNRN and, unlike other references, they are allowed to change sign.

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Physical Sciences and Engineering Engineering Engineering (General)
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On the finite dimension of attractors of parabolic problems in RNRN with general potentials
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