Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Exponential stability in linear viscoelasticity


Author: Vittorino Pata
Journal: Quart. Appl. Math. 64 (2006), 499-513
MSC (2000): Primary 35B40, 45K05, 45M10, 47D06
DOI: https://doi.org/10.1090/S0033-569X-06-01010-4
Published electronically: April 6, 2006
MathSciNet review: 2259051
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Abstract: We address the study of the asymptotic behavior of solutions to an abstract integrodifferential equation modeling linear viscoelasticity. Framing the equation in the past history setting, we analyze the exponential stability of the related semigroup $ S(t)$ with dependence on the convolution kernel, providing a more general sufficient condition than the usual one present in the literature.


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Additional Information

Vittorino Pata
Affiliation: Dipartimento di Matematica “F.Brioschi”, Politecnico di Milano, Via Bonardi 9, 20133 Milano, Italy
Email: pata@mate.polimi.it

DOI: https://doi.org/10.1090/S0033-569X-06-01010-4
Keywords: Linear viscoelasticity, memory kernels, contraction semigroups, exponential stability
Received by editor(s): November 14, 2005
Published electronically: April 6, 2006
Article copyright: © Copyright 2006 Brown University
The copyright for this article reverts to public domain 28 years after publication.


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