74 citations · 178 across the 14 of their papers we have counts for
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math.AP2009★ 74 cited
Global existence for coupled systems of nonlinear wave and Klein-Gordon equations in three space dimensions
Soichiro Katayama
We consider the Cauchy problem for coupled systems of wave and Klein-Gordon equations with quadratic nonlinearity in three space dimensions. We show global existence of small ampli…
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…