Abstract and Applied Analysis
Volume 2009 (2009), Article ID 828315, 19 pages
doi:10.1155/2009/828315
Research Article

Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem

Julia Orlik

Fraunhofer-Institut für Techno- und Wirtschaftsmathematik, Gottlieb-Daimler Straße 49 D, 67663 Kaiserslautern, Germany

Received 19 January 2009; Accepted 23 April 2009

Academic Editor: Victor Zvyagin

Copyright © 2009 Julia Orlik. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The paper is concerned with the existence and stability of weak (variational) solutions for the problem of the quasistatic evolution of a viscoelastic material under mixed inhomogenous Dirichlet-Neumann boundary conditions. The main novelty of the paper relies in dealing with continuous-in-time weak solutions and allowing nonconvolution and weak-singular Volterra's relaxation kernels.