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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Smoothness of decaying wave motions


Author: Jeffrey Rauch
Journal: Proc. Amer. Math. Soc. 49 (1975), 334-338
MSC: Primary 35L15
MathSciNet review: 0367463
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Abstract: We show that for compactly supported perturbations of the wave equation, solutions whose total energy decays to zero must be smooth, provided that there are no trapped rays.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1975-0367463-7
PII: S 0002-9939(1975)0367463-7
Article copyright: © Copyright 1975 American Mathematical Society