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On Periodic Solutions of a Damped Wave Equation in a Thin Domain Using Degree Theoretic Methods

✍ Scribed by Russell Johnson; Paolo Nistri; Mikhail Kamenski

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
386 KB
Volume
140
Category
Article
ISSN
0022-0396

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Here we are concerned about the stability of the solution of internally damped wave equation y Y s ⌬ y q ⌬ y X with small damping constant ) 0, in a bounded domain ⍀ in R n under mixed undamped boundary conditions. A uniform expo-Ε½ . y␀ t Ε½ . nential energy decay rate E t F Me E 0 where M G 1 and ␀