A semilinear strongly damped wave equation with memory is considered in the past history framework. The existence of global attractors of optimal regularity is established, both for critical and supercritical nonlinearities, under a necessary and sufficient condition on the memory kernel.
On the strongly damped wave equation with memory / Di Plinio, F.; Pata, V.; Zelik, S.. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - 57:2(2008), pp. 757-780. [10.1512/iumj.2008.57.3266]
On the strongly damped wave equation with memory
Di Plinio F.;
2008
Abstract
A semilinear strongly damped wave equation with memory is considered in the past history framework. The existence of global attractors of optimal regularity is established, both for critical and supercritical nonlinearities, under a necessary and sufficient condition on the memory kernel.File in questo prodotto:
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