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Initial boundary-value problems for quasilinear wave equations with dissipation in an exterior domain

โœ Scribed by Li Yachun


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
153 KB
Volume
34
Category
Article
ISSN
0362-546X

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โœ Jeong Ja Bae; Mitsuhiro Nakao ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 186 KB

## Abstract We study a decay property of solutions for the wave equation with a localized dissipation and a boundary dissipation in an exterior domain ฮฉ with the boundary โˆ‚ฮฉ = ฮ“~0~ โˆช ฮ“~1~, ฮ“~0~ โˆฉ ฮ“~1~ = โˆ…๏ธ. We impose the homogeneous Dirichlet condition on ฮ“~0~ and a dissipative Neumann condition on