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arXiv:0904.2233 [math.AP]AbstractReferencesReviewsResources

The rate of convergence to the asymptotics for the wave equation in an exterior domain

Soichiro Katayama, Hideo Kubo

Published 2009-04-15Version 1

In this paper we consider the mixed problem for the wave equation exterior to a non-trapping obstacle in odd space dimensions. We derive a rate of the convergence of the solution for the mixed problem to a solution for the Cauchy problem. As a by-product, we are able to find out the radiation field of solutions to the mixed problem in terms of the scattering data.

Comments: 24 pages
Categories: math.AP
Subjects: 35L20, 35B40
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