Some remarks on stability of semigroups arising from linear viscoelasticity

Article type: Research Article

Authors: Chepyzhov, V.V. | Pata, V.

Affiliations: Institute for Information Transmission Problems, Russian Academy of Sciences, Bolshoy Karetniy 19, Moscow 127994, GSP-4, Russia E-mail: chep@iitp.ru | Dipartimento di Matematica “F. Brioschi”, Politecnico di Milano, via Bonardi 9, I-20133 Milano, Italy E-mail: pata@mate.polimi.it

Abstract: An abstract integrodifferential equation arising from linear viscoelasticity is considered. The stability properties of the related C0-semigroup are discussed, in dependence on the form of the convolution (memory) kernel.

Keywords: linear viscoelasticity, memory kernels, [TeX:] $C_{0}$-semigroups, stability, exponential stability

Journal: Asymptotic Analysis, vol. 46, no. 3-4, pp. 251-273, 2006