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Sharp estimates for maximal operators associated to the wave equation

โœ Scribed by Keith M. Rogers; Paco Villarroya


Book ID
107382401
Publisher
Springer Netherlands
Year
2008
Tongue
English
Weight
177 KB
Volume
46
Category
Article
ISSN
0004-2080

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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