Singular limit of dissipative hyperbolic equations with memory

Monica Conti; Vittorino Pata; M. Squassina

doi:10.3934/proc.2005.2005.200

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2005, Volume 2005: 200-208. Doi: 10.3934/proc.2005.2005.200 open access

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Singular limit of dissipative hyperbolic equations with memory

1.
Politecnico di Milano - Dipartimento di Matematica "F. Brioschi", Via Bonardi 9, 20133 Milano
2.
Dipartimento di Matematica "F.Brioschi", Politecnico di Milano, Via Bonardi 9, I-20133 Milano

Received: June 2004

Revised: March 2005

Published online: September 2005

Abstract / Introduction Related Papers Cited by

Abstract

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.

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Mathematics Subject Classification: 35B25, 35L05, 37L30, 45K05.

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