25 citations · 147 across the 22 of their papers we have counts for
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A remark on the algebraic normal form method applied to the Dirac-Klein-Gordon system in two space dimensions
Masahiro Ikeda, Akihiro Shimomura, Hideaki Sunagawa
We consider the massive Dirac-Klein-Gordon system in two space dimensions. Under the non-resonace mass condition, we show that the solution is asymptotically free if the initial da…
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…
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…
Global small amplitude solutions for two-dimensional nonlinear Klein-Gordon systems in the presence of mass resonance
Yuichiro Kawahara, Hideaki Sunagawa
We consider a nonlinear system of two-dimensional Klein-Gordon equations with masses satisfying the resonance relation. We introduce a structural condition on the nonlinearities un…