2005, 2005(Special): 200-208. doi: 10.3934/proc.2005.2005.200

Singular limit of dissipative hyperbolic equations with memory

1. 

Politecnico di Milano - Dipartimento di Matematica "F. Brioschi", Via Bonardi 9, 20133 Milano, Italy, Italy

2. 

Dipartimento di Matematica "F.Brioschi", Politecnico di Milano, Via Bonardi 9, I-20133 Milano

Received  June 2004 Revised  March 2005 Published  September 2005

We consider a class of weakly damped semilinear hyperbolic equations with memory, expressed by a convolution integral. We study the passage to the singular limit when the memory kernel collapses into the Dirac mass at zero, and we establish a convergence result for a proper family of exponential attractors.
Citation: Monica Conti, Vittorino Pata, M. Squassina. Singular limit of dissipative hyperbolic equations with memory. Conference Publications, 2005, 2005 (Special) : 200-208. doi: 10.3934/proc.2005.2005.200
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