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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★ 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…