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

2009/04/15 by Soichiro Katayama, Katayama, Soichiro, Hideo Kubo +1
Mathematics · #35B40 #35L20 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Numerical methods in inverse problems #math.AP #msc:35B40 #msc:35L20

paper · pdf · doi:10.48550/arxiv.0904.2233

24 pages

arxiv created 2009/04/15 · openalex publication_date 2009/04/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 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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