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

โœ Scribed by Mitsuhiro Nakao


Publisher
Springer
Year
1996
Tongue
English
Weight
498 KB
Volume
305
Category
Article
ISSN
0025-5831

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Sharp energy decay estimates for the wav
โœ Yong Han Kang; Mi Jin Lee; Il Hyo Jung ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 โ„ฆ. The dissipative coefficient a(x) is a nonnegative function only on a neighborhood of some part of the boundary โˆ‚โ„ฆ and may vanish somewhere in โ„ฆ. The results obtained e