25 citations · 147 across the 22 of their papers we have counts for
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Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions
Soichiro Katayama, Akitaka Matsumura, Hideaki Sunagawa
We consider the Cauchy problem for systems of semilinear wave equations in two space dimensions. We present a structural condition on the nonlinearity under which the energy decrea…
Remarks on decay of small solutions to systems of Klein-Gordon equations with dissipative nonlinearities
Donghyun Kim, Hideaki Sunagawa
We consider the Cauchy problem for systems of cubic nonlinear Klein-Gordon equations in one space dimension. Under a suitable structural condition on the nonlinearity, we will show…
Null structure in a system of quadratic derivative nonlinear Schrödinger equations
Masahiro Ikeda, Soichiro Katayama, Hideaki Sunagawa
We consider the initial value problem for a three-component system of quadratic derivative nonlinear Schrödinger equations in two space dimensions with the masses satisfying the re…
A remark on decay rates of solutions for a system of quadratic nonlinear Schrödinger equations in 2D
Soichiro Katayama, Chunhua Li, Hideaki Sunagawa
We consider the initial value problem for a three-component system of quadratic nonlinear Schrödinger equations with mass resonance in two space dimensions. Under a suitable condit…