The Rate of Convergence to the Asymptotics for the Wave Equation in an Exterior Domain

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概要

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• 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.

• 日本数学会函数方程式論分科会の論文

著者

• Kubo Hideo

  Tohoku University

• Katayama Soichiro

  Wakayama University

関連論文

• The Rate of Convergence to the Asymptotics for the Wave Equation in an Exterior Domain

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