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Energy decay and periodic solution for the wave equation in an exterior domain with half-linear and nonlinear boundary dissipations

โœ Scribed by Mitsuhiro Nakao; Jeong Ja Bae


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
291 KB
Volume
66
Category
Article
ISSN
0362-546X

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Energy decay for the wave equation with
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