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Global exponential attractors for a class of almost-periodic parabolic equations in \(\mathbb{R}^ N\). (English) Zbl 0802.35081

Summary: 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.

MSC:

35K57 Reaction-diffusion equations
92D25 Population dynamics (general)
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