This note is focused on a novel technique to establish the bound- edness in more regular spaces for global attractors of dissipative dynamical systems, without appealing to uniform-in-time estimates. As an application, we consider the semigroup generated by the strongly damped wave equation with critical nonlinearity, whose attractor is shown to possess the optimal regularity.
On the regularity of global attractors
CONTI, MONICA;PATA, VITTORINO
2009-01-01
Abstract
This note is focused on a novel technique to establish the bound- edness in more regular spaces for global attractors of dissipative dynamical systems, without appealing to uniform-in-time estimates. As an application, we consider the semigroup generated by the strongly damped wave equation with critical nonlinearity, whose attractor is shown to possess the optimal regularity.File in questo prodotto:
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