Existence and Stability Estimate for the Solution of the Ageing Hereditary Linear Viscoelasticity Problem-Reference-Cited by-同舟云学术

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

Published:2009 Issue: Volume:2009 Page:1-19
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Orlik Julia¹

Affiliation:

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

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.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2009/828315.pdf

Reference21 articles.

1. On Some Weighted Hardy Type Classes of One-Parametric Holomorphic Functions. II. Partial Volterra Operators in Parameter

2. Regular solutions for time dependent abstract integrodifferential equations with singular kernel

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