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Article Contents

# On the regularity of global attractors

• This note is focused on a novel technique 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, we consider the semigroup generated by the strongly damped wave equation with critical nonlinearity, whose attractor is shown to possess the optimal regularity.
Mathematics Subject Classification: Primary: 34D45, 47H20; Secondary: 35B33, 35L05.

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