A semilinear integrodifferential equation of hyperbolic type is studied, where the dissipation is entirely contributed by the convolution term accounting for the past history of the variable. Within a novel abstract framework, based on the notion of minimal state, the existence of a regular global attractor is proved.
Semilinear wave equations of viscoelasticity in the minimal state framework
CONTI, MONICA;MARCHINI, ELSA MARIA;PATA, VITTORINO
2010-01-01
Abstract
A semilinear integrodifferential equation of hyperbolic type is studied, where the dissipation is entirely contributed by the convolution term accounting for the past history of the variable. Within a novel abstract framework, based on the notion of minimal state, the existence of a regular global attractor is proved.File in questo prodotto:
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