4.4 Article

UNIQUENESS AND CONTINUOUS DEPENDENCE FOR A VISCOELASTIC PROBLEM WITH MEMORY IN DOMAINS WITH TIME DEPENDENT CRACKS

Journal

DIFFERENTIAL AND INTEGRAL EQUATIONS
Volume 34, Issue 11-12, Pages 595-620

Publisher

KHAYYAM PUBL CO INC

Keywords

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Funding

  1. National Research Project (PRIN 2017) Variational Methods for Stationary and Evolution Problems with Singularities and Interfaces - Italian Ministry of University and Research

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The study focuses on hyperbolic partial integro-differential systems in domains with time-dependent cracks, giving conditions that ensure the uniqueness of the solution with prescribed initial-boundary conditions and its continuous dependence on the cracks.
We study some hyperbolic partial integro-differential systems in domains with time dependent cracks. In particular, we give conditions on the cracks which imply the uniqueness of the solution with prescribed initial-boundary conditions, and its continuous dependence on the cracks.

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