Decay of solutions of the wave equation in the exterior of several convex bodies (Q1098011)
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scientific article; zbMATH DE number 4036303
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decay of solutions of the wave equation in the exterior of several convex bodies |
scientific article; zbMATH DE number 4036303 |
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Decay of solutions of the wave equation in the exterior of several convex bodies (English)
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1988
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We study the decay of solutions to the wave equation in the exterior of several strictly convex bodies. A sufficient condition for exponential decay of the local energy is expressed in terms of the period and the Poincaré map of periodic rays in the exterior domain.
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exterior of several strictly convex bodies
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exponential decay
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local energy
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Poincaré map
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periodic rays
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