8 citations · 9 across the 3 of their papers we have counts for
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math.AP2009★ 1 cited
The rate of convergence to the asymptotics for the wave equation in an exterior domain
Soichiro Katayama, Hideo Kubo
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 f…
math.AP2007
An elementary proof of global existence for nonlinear wave equations in an exterior domain
Soichiro Katayama, Hideo Kubo
The aim of this article is to present an elementary proof of a global existence result for nonlinear wave equations satifying the null condition in an exterior domain. The novelty…
math.AP2007★ 8 cited
Decay estimates of a tangential derivative to the light cone for the wave equation and their application
Soichiro Katayama, Hideo Kubo
We consider wave equations in three space dimensions, and obtain new weighted - estimates for a tangential derivative to the light cone. As an application, we g…