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2003, 2003(Special): 305-312. doi: 10.3934/proc.2003.2003.305

Uniform Gevrey regularity for the attractor of a damped wave equation

Cedric Galusinski 1, and  Serguei Zelik 2,

1. 

Université Bordeaux-I, Mathématiques Appliquées, 351 Cours de la Libération, 33405 Talence Cedex
2. 

LAM-SP2MI, Université de Poitiers, Boulevard Marie et Pierre Crie-Téléport 2, 86962 Chasseneuil Futuroscope Cedex, France

Received  September 2002 Revised  March 2003 Published  April 2003

The goal of this paper is to prove time-asymptotic regularity in Gevrey spaces of the solution of a singularly perturbed damped wave equation and to obtain the uniform (with respect to the perturbation parameter) bounds for the associated global and exponential attractors in the appropriate Gervey spaces.
Keywords: damped wave equation, Gevrey regularity, partially dissipative., asymptotic behavior, exponential attractors.
Mathematics Subject Classification: Primary: 35B40 35B4.
Citation: Cedric Galusinski, Serguei Zelik. Uniform Gevrey regularity for the attractor of a damped wave equation. Conference Publications, 2003, 2003 (Special) : 305-312. doi: 10.3934/proc.2003.2003.305
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