16 citations · 106 across the 33 of their papers we have counts for
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Nonexistence of scattering and modified scattering states for some nonlinear Schrödinger equation with critical homogeneous nonlinearity
Satoshi Masaki, Hayato Miyazaki
We consider large time behavior of solutions to the nonlinear Schrödinger equation with a homogeneous nonlinearity of the critical order which is not necessarily a polynomial. We t…
Modified scattering for the cubic NLS with a repulsive delta potential
Satoshi Masaki, Jason Murphy, Jun-ichi Segata
We consider the initial-value problem for the cubic nonlinear Schrödinger equation with a repulsive delta potential. We prove that small initial data in a weighted Sobolev spa…
Long range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity in three space dimensions
Satoshi Masaki, Hayato Miyazaki, Kota Uriya
In this paper, we consider the final state problem for the nonlinear Schrödinger equation with a homogeneous nonlinearity of the critical order which is not necessarily a polynomia…
Refinement of Strichartz estimate for Airy equation in non-diagonal case and its application
Satoshi Masaki, Jun-ichi Segata
In this paper, we give an improvement of the Strichartz estimate for Airy equation in the non-diagonal case. As an application, we prove the small data scattering and existence of…
Modified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensions
Satoshi Masaki, Jun-ichi Segata
In this paper, we consider the final state problem for the nonlinear Klein-Gordon equation (NLKG) with a critical nonlinearity in three space dimensions. We prove that for a given…