On the existence for viscoelastodynamic problems with unilateral boundary conditions |
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| Authors: | Adrien Petrov Michelle Schatzman |
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| Institution: | 1. Weierstraß-Institut für Angewandte Analysis und Stochastik, Mohrenstraße 39, 10117 Berlin, Germany;2. CNRS, Université de Lyon, Institut Camille Jordan, 21 Avenue Claude Bernard, F-69622 Villeurbanne Cedex, France |
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| Abstract: | This note deals with a damped wave equation and the evolution of a Kelvin–Voigt viscoelastic material, both problems being subject to unilateral boundary conditions. The functional properties of all the traces are precisely identified through Fourier analysis, which implies the existence of a solution satisfying almost everywhere the unilateral boundary conditions. (© 2009 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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