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Decay of solutions of the wave equation with a local degenerate dissipation

✍ Scribed by Mitsuhiro Nakao


Book ID
112885580
Publisher
The Hebrew University Magnes Press
Year
1996
Tongue
English
Weight
528 KB
Volume
95
Category
Article
ISSN
0021-2172

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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