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Exponential decay of solutions of the wave equation

โœ Scribed by Cathleen S. Morawetz

Publisher
John Wiley and Sons
Year
1966
Tongue
English
Weight
260 KB
Volume
19
Category
Article
ISSN
0010-3640

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๐Ÿ“œ SIMILAR VOLUMES

Exponential decay of non-linear wave equ
Exponential decay of non-linear wave equation with a viscoelastic boundary condition
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

Exponential decay for the one-dimensiona
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โœ A. Y. Khapalov ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 123 KB ๐Ÿ‘ 2 views

The paper considers a particular type of closed-loop for the wave equation in one space dimension with damping acting at an arbitrary internal point, for which the uniform stabilization with exponential decay rate is shown. Applications to chains of coupled strings are also discussed.