74 citations · 178 across the 14 of their papers we have counts for
14 papers
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…
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…
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…
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…
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…