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Existence and decay of solutions for a viscoelastic wave equation with acoustic boundary conditions

โœ Scribed by Boukhatem, Yamna; Benabderrahmane, Benyattou


Book ID
121742145
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
476 KB
Volume
97
Category
Article
ISSN
0362-546X

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We study in this paper the global existence and exponential decay of solutions of the non-linear unidimensional wave equation with a viscoelastic boundary condition. We prove that the dissipation induced by the memory e!ect is strong enough to secure global estimates, which allow us to show existenc