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Lack of exponential decay of a coupled system of wave equations with memory

โœ Scribed by R.G.C. Almeida; M.L. Santos


Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
243 KB
Volume
12
Category
Article
ISSN
1468-1218

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Exponential decay of non-linear wave equ
โœ Jaime E. Muรฑoz Rivera; Doherty Andrade ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 152 KB ๐Ÿ‘ 2 views

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