74 citations · 178 across the 14 of their papers we have counts for
Showing 2012 · math.APShow all
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math.AP2012★ 1 cited
Almost global existence for exterior Neumann problems of semilinear wave equations in 2D
Soichiro Katayama, Hideo Kubo, Sandra Lucente
The aim of this article is to prove an "almost" global existence result for some semilinear wave equations in the plane outside a bounded convex obstacle with the Neumann boundary…
math.AP2012★ 2 cited
Semilinear hyperbolic systems violating the null condition
Soichiro Katayama, Toshiaki Matoba, Hideaki Sunagawa
We consider systems of semilinear wave equations in three space dimensions with quadratic nonlinear terms not satisfying the null condition. We prove small data global existence of…
math.AP2012★ 13 cited
Asymptotic bahavior for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions
Soichiro Katayama
We consider the Cauchy problem for systems of nonlinear wave equations with multiple propagation speeds in three space dimensions. Under the null condition for such systems, the gl…