On the regularity of global attractors

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dc.creatorConti, Monica
dc.creatorPata, Vittorino
dc.date2009-01-23
dc.date.accessioned2026-07-07T12:33:40Z
dc.date.available2026-07-07T12:33:40Z
dc.descriptionThis note is focused on a novel technique in order to establish the boundedness in more regular spaces for global attractors of dissipative dynamical systems, without appealing to uniform-in-time estimates. As an application of the abstract result, the semigroup generated by the strongly damped wave equation $$u_{tt}-Δu_t-Δu+ϕ(u)=f$$ with critical nonlinearity is considered, whose attractor is shown to possess the optimal regularity.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0901.3607
dc.identifierhttp://arxiv.org/abs/0901.3607
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217205
dc.subjectDynamical Systems
dc.subject34D45, 35B33, 35L05, 35M10, 47H20
dc.titleOn the regularity of global attractors
dc.typetext

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