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Exponential energy decay of solutions of viscoelastic wave equations

✍ Scribed by Yanjin Wang; Yufeng Wang


Book ID
108178245
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
148 KB
Volume
347
Category
Article
ISSN
0022-247X

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Exponential decay of non-linear wave equ
✍ Jaime E. MuΓ±oz Rivera; Doherty Andrade πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 152 KB πŸ‘ 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