A construction of a robust family of exponential attractors
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- by Stefania Gatti, Maurizio Grasselli, Alain Miranville and Vittorino Pata PDF
- Proc. Amer. Math. Soc. 134 (2006), 117-127 Request permission
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.References
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Additional Information
- Stefania Gatti
- Affiliation: Dipartimento di Matematica, Università di Ferrara, Via Machiavelli 35, I-44100 Ferrara, Italy
- Email: s.gatti@economia.unife.it
- Maurizio Grasselli
- Affiliation: Dipartimento di Matematica “F.Brioschi”, Politecnico di Milano, Via Bonardi 9, I-20133 Milano, Italy
- Email: maugra@mate.polimi.it
- Alain Miranville
- Affiliation: 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
- MR Author ID: 337323
- ORCID: 0000-0002-6030-5928
- Email: miranv@math.univ-poitiers.fr
- Vittorino Pata
- Affiliation: Dipartimento di Matematica “F.Brioschi”, Politecnico di Milano, Via Bonardi 9, I-20133 Milano, Italy
- MR Author ID: 358540
- Email: pata@mate.polimi.it
- Received by editor(s): December 14, 2003
- Published electronically: August 22, 2005
- Additional Notes: This research was partially supported by the Italian MIUR FIRB Research Project Analisi di Equazioni a Derivate Parziali, Lineari e Non Lineari: Aspetti Metodologici, Modellistica, Applicazioni
- Communicated by: David S. Tartakoff
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 117-127
- MSC (2000): Primary 37L25, 37L30
- DOI: https://doi.org/10.1090/S0002-9939-05-08340-1
- MathSciNet review: 2170551