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Energy decay of solutions of a degenerate Kirchhoff equation with a weak nonlinear dissipation

✍ Scribed by Mama Abdelli; Abbes Benaissa


Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
265 KB
Volume
69
Category
Article
ISSN
0362-546X

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Sharp energy decay estimates for the wav
✍ Yong Han Kang; Mi Jin Lee; Il Hyo Jung πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 445 KB

We derive a fast decay estimate for the wave equation with a local degenerate dissipation of the type a(x)u t in a bounded domain Ω. The dissipative coefficient a(x) is a nonnegative function only on a neighborhood of some part of the boundary βˆ‚β„¦ and may vanish somewhere in Ω. The results obtained e