Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
  Quarterly of Applied Mathematics
Quarterly of Applied Mathematics
  
Online ISSN 1552-4485; Print ISSN 0033-569X
 

Exponential stability in linear viscoelasticity


Author: Vittorino Pata
Journal: Quart. Appl. Math. 64 (2006), 499-513
MSC (2000): Primary 35B40, 45K05, 45M10, 47D06
Published electronically: April 6, 2006
MathSciNet review: 2259051
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Quarterly of Applied Mathematics with MSC (2000): 35B40, 45K05, 45M10, 47D06

Retrieve articles in all journals with MSC (2000): 35B40, 45K05, 45M10, 47D06


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: http://dx.doi.org/10.1090/S0033-569X-06-01010-4
PII: S 0033-569X(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.



Brown University The Quarterly of Applied Mathematics
is distributed by the American Mathematical Society
for Brown University
Online ISSN 1552-4485; Print ISSN 0033-569X
© 2014 Brown University
Comments: qam-query@ams.org
AMS Website