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.
Conti, M., Pata, V., Squassina, M., Singular limit of dissipative hyperbolic equations with memory, <<DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS>>, 2005; (N/A): 200-208 [http://hdl.handle.net/10807/91013]
Singular limit of dissipative hyperbolic equations with memory
Squassina, MarcoUltimo
2005
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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