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Conservative systems of semi-linear wave equations with periodic-Dirichlet boundary conditions

✍ Scribed by Jean Mawhin


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
508 KB
Volume
42
Category
Article
ISSN
0022-0396

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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