4 citations · 5 across the 4 of their papers we have counts for
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Modified scattering operator for nonlinear Schrödinger equations with time-decaying harmonic potentials
Masaki Kawamoto, Hayato Miyazaki
This paper is concerned with nonlinear Schrödinger equations with a time-decaying harmonic potential. The nonlinearity is gauge-invariant of the long-range critical order. In [24]…
Long range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity
Satoshi Masaki, Hayato Miyazaki
In this paper, we consider the final state problem for the nonlinear Schrödinger equation with a homogeneous nonlinearity which is of the long range critical order and is not neces…
Global behavior of solutions to generalized Gross-Pitaevskii equation
Satoshi Masaki, Hayato Miyazaki
This paper is concerned with time global behavior of solutions to nonlinear Schrödinger equation with a non-vanishing condition at the spatial infinity. Under a non-vanishing condi…
The derivation of conservation laws for nonlinear Schroedinger equations with a power type nonlinearity
Kazumasa Fujiwara, Hayato Miyazaki
For nonlinear Schroedinger equations with a power nonlinearity, a new approach to derive the conservation law of the momentum and the pseudo conformal conservation law is obtained.…