16 citations · 106 across the 33 of their papers we have counts for
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math.AP2020★ 1 cited
Asymptotic stability of solitary waves for the NLS with an attractive delta potential
Satoshi Masaki, Jason Murphy, Jun-ichi Segata
We consider the one-dimensional nonlinear Schrödinger equation with an attractive delta potential and mass-supercritical nonlinearity. This equation admits a one-parameter family o…
math.AP2020★ 1 cited
Scattering for the mass-critical nonlinear Klein-Gordon equations in three and higher dimensions
Xing Cheng, Zihua Guo, Satoshi Masaki
In this paper we consider the real-valued mass-critical nonlinear Klein-Gordon equations in three and higher dimensions. We prove the dichotomy between scattering and blow-up below…
math.AP2020★ 1 cited
Optimal decay rate of solutions for nonlinear Klein-Gordon systems of critical type
Satoshi Masaki, Koki Sugiyama
We consider the decay rate of solutions to nonlinear Klein-Gordon systems with a critical type nonlinearity. We will specify the optimal decay rate for a specific class of Klein-Go…