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

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

2009-04-15

arxiv.org/abs/0904.2233v1

Mathematics

Analysis of PDEs

24 pages

Scientific paper

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.

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