4 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AP2016★ 4 cited
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…
math.AP2016
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…
math.AP2014★ 1 cited
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.…