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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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.
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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