74 citations · 178 across the 14 of their papers we have counts for
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math.AP2011
The energy decay and asymptotics for a class of semilinear wave equations in two space dimensions
Soichiro Katayama, Daisuke Murotani, Hideaki Sunagawa
We consider semilinear wave equations with small initial data in two space dimensions. For a class of wave equations with cubic nonlinearity, we show the global existence of small…
math.AP2011
A note on the null condition for quadratic nonlinear Klein-Gordon systems in two space dimensions
Soichiro Katayama, Tohru Ozawa, Hideaki Sunagawa
We consider the Cauchy problem for quadratic nonlinear Klein-Gordon systems in two space dimensions with masses satisfying the resonance relation. Under the null condition in the s…
math.AP2011★ 27 cited
Asymptotic pointwise behavior for systems of semilinear wave equations in three space dimensions
Soichiro Katayama
In connection with the weak null condition, Alinhac introduced a sufficient condition for global existence of small amplitude solutions to systems of semilinear wave equations in t…