Robust exponential attractors for the strongly damped wave equation with memory. II |
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Authors: | F Di Plinio V Pata |
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Institution: | (1) Mathematics Department, Indiana University, Bloomington, IN 47405, USA;(2) Dipartimento di Matematica “F. Brioschi”, Politecnico di Milano, Via Bonardi 9, 20133 Milano, Italy |
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Abstract: | We consider the singular limit of the semilinear strongly damped wave equation with memory in the presence of a critical nonlinearity,
as the memory kernel converges to the Dirac mass at zero. We prove the existence of a robust family of regular exponential
attractors in the weak energy space.
Partially supported by the Italian PRIN research project 2006 Problemi a frontiera libera, transizioni di fase e modelli di isteresi. The first author has been partially supported by a research grant from the Fondazione Fratelli Confalonieri (Milano, Italy). |
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