Attractors and global averaging of non-autonomous reaction-diffusion equations in R^n

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dc.creatorAntoci, F.
dc.creatorPrizzi, M.
dc.date2002-05-16
dc.date2002-06-17
dc.date.accessioned2026-07-07T04:48:33Z
dc.date.available2026-07-07T04:48:33Z
dc.descriptionWe consider a family of non-autonomous reaction-diffusion equations with almost periodic, rapidly oscillating principal part and nonlinear interactions. As the frequency of the oscillations tends to infinity, we prove that the solutions of the non-autonomous equations converge to the solutions of the autonomous averaged equation. If the nonlinearity is dissipative, we prove existence of compact attractors and their upper-semicontinuity at infinity.
dc.description31 pages; to appear on "Topological Methods in Nonlinear Analysis"; references added
dc.identifierhttps://arxiv.org/abs/math/0205184
dc.identifierhttp://arxiv.org/abs/math/0205184
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64090
dc.subjectAnalysis of PDEs
dc.subjectDynamical Systems
dc.subject34G20; 35Q30; 35L70
dc.titleAttractors and global averaging of non-autonomous reaction-diffusion equations in R^n
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