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A construction of a robust family of exponential attractors
Author(s):
Stefania
Gatti;
Maurizio
Grasselli;
Alain
Miranville;
Vittorino
Pata
Journal:
Proc. Amer. Math. Soc.
134
(2006),
117-127.
MSC (2000):
Primary 37L25, 37L30
Posted:
August 22, 2005
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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
Email:
miranv@math.univ-poitiers.fr
Vittorino
Pata
Affiliation:
Dipartimento di Matematica ``F.Brioschi'', Politecnico di Milano, Via Bonardi 9, I-20133 Milano, Italy
Email:
pata@mate.polimi.it
DOI:
10.1090/S0002-9939-05-08340-1
PII:
S 0002-9939(05)08340-1
Keywords:
Strongly continuous semigroups,
robust exponential attractors,
fractal dimension
Received by editor(s):
December 14, 2003
Posted:
August 22, 2005
Additional Notes:
This research was partially supported by the Italian MIUR FIRB Research Project {\it Analisi di Equazioni a Derivate Parziali, Lineari e Non Lineari: Aspetti Metodologici, Modellistica, Applicazioni}
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2005,
American Mathematical Society
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