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A construction of a robust family of exponential attractors |
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| Authors: | Stefania Gatti Maurizio Grasselli Alain Miranville Vittorino Pata |
| Institution: | Dipartimento di Matematica, Università di Ferrara, Via Machiavelli 35, I-44100 Ferrara, Italy ; Dipartimento di Matematica ``F.Brioschi', Politecnico di Milano, Via Bonardi 9, I-20133 Milano, Italy ; Université de Poitiers, Laboratoire de Mathématiques et Applications, UMR CNRS 6086 - SP2MI, Boulevard Marie et Pierre Curie - Téléport 2, F-86962 Chasseneuil Futuroscope Cedex, France ; Dipartimento di Matematica ``F.Brioschi', Politecnico di Milano, Via Bonardi 9, I-20133 Milano, Italy |
| Abstract: | Given a dissipative strongly continuous semigroup depending on some parameters, we construct a family of exponential attractors which is robust, in the sense of the symmetric Hausdorff distance, with respect to (even singular) perturbations. |
| Keywords: | Strongly continuous semigroups robust exponential attractors fractal dimension |
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