Wave equations with memory: The minimal state approach |
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Authors: | Monica Conti |
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Institution: | Politecnico di Milano, Dipartimento di Matematica “F. Brioschi”, Via Bonardi 9, 20133 Milano, Italy |
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Abstract: | Recently, in M. Conti et al. (2010) 6] and M. Fabrizio et al. (2010) 12], a new theoretical scheme has been developed in order to study equations with memory, the so-called minimal state approach. The aim of this work is to provide the technical body needed to study the asymptotic behavior of semilinear integro-differential equations of hyperbolic type in the novel framework. |
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Keywords: | Hyperbolic equation with memory Viscoelasticity Minimal state Lyapunov functional Global attractor |
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