Funkcialaj Ekvacioj
Print ISSN : 0532-8721
The Rate of Convergence to the Asymptotics for the Wave Equation in an Exterior Domain
Soichiro KatayamaHideo Kubo
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2010 Volume 53 Issue 3 Pages 331-358

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Abstract
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 its asymptotic profile, which is written as 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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© 2010 by the Division of Functional Equations, The Mathematical Society of Japan
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