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Global exponential attractors for a class of almost-periodic parabolic equations in $ {\bf R}\sp N$

Author: Pierre-A. Vuillermot
Journal: Proc. Amer. Math. Soc. 116 (1992), 775-782
MSC: Primary 35K55; Secondary 58F39
MathSciNet review: 1102861
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Abstract: In this article, we construct global exponential attractors for a class of almost-periodic semilinear reaction-diffusion equations with Neumann boundary conditions on bounded regions of $ {\mathbb{R}^N}$. The class of problems that we analyze here contains, in particular, Fisher's equations of population genetics.

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Keywords: Almost-periodic parabolic equations, infinite-dimensional dynamical systems, global exponential attractors, explicit rates of decay
Article copyright: © Copyright 1992 American Mathematical Society

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