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A Sharp Decay Estimate for Positive Nonlinear Waves

โœ Scribed by Bressan, Alberto; Yang, Tong

Book ID
118198838
Publisher
Society for Industrial and Applied Mathematics
Year
2004
Tongue
English
Weight
217 KB
Volume
36
Category
Article
ISSN
0036-1410

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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 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