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Zbl 0636.35045
Ikawa, Mitsuru
Decay of solutions of the wave equation in the exterior of several convex bodies. (English)
[J] Ann. Inst. Fourier 38, No.2, 113-146 (1988). ISSN 0373-0956; ISSN 1777-5310/e

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.
[M.Ikawa]
MSC 2000:
*35L05 Wave equation
35B40 Asymptotic behavior of solutions of PDE

Keywords: exterior of several strictly convex bodies; exponential decay; local energy; Poincaré map; periodic rays

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