2 citations · 2 across the 5 of their papers we have counts for
7 papers
Large-data modified wave operators for the defocusing nonlinear Schrödinger equation in one space dimension with subcritical long-range nonlinearity
Masaki Kawamoto, Haruya Mizutani
We study long-time behavior of the solutions to the final state problem for the defocusing nonlinear Schrödinger equation (NLS) in one space dimension with the power nonlinearity $…
Correction to the article "Global well-posedness and scattering in weighted space for nonlinear Schrödinger equations below the Strauss exponent without gauge-invariance"
Masaki Kawamoto, Masaki kawamoto, Satoshi Masaki +1
This article resolves some errors in the paper ``Global well-posedness and scattering in weighted space for nonlinear Schrödinger equations below the Strauss exponent without gauge…
Modified Scattering for the Time-Dependent Kohn--Sham Equation
Masaki Kawamoto, Jinyeop Lee, Changhun Yang +1
We study the long-time behavior of the (critical) Kohn--Sham equation in two and three dimensions, i.e.,\[ \mathrm{i} \partial_t γ = \Big[-\frac{1}{2}Δ+ λ\, |\cdot|^{-1} \ast ρ_{γ}…
Modified wave operators for the defocusing cubic nonlinear Schrödinger equation in one space dimension with large scattering data
Masaki Kawamoto, Haruya Mizutani
In the present paper, we construct modified wave operators for the defocusing cubic nonlinear Schrödinger equation (NLS) in one space dimension without size restriction on scatteri…
Modified scattering for the cubic nonlinear Schrödinger equation with long-range potentials in one space dimension
Masaki Kawamoto, Haruya Mizutani
We consider the cubic nonlinear Schrödinger equation with long-range linear potentials in one space dimension, and prove the modified scattering in the energy space for the associa…
Global well-posedness and scattering in weighted space for nonlinear Schrödinger equations below the Strauss exponent without gauge-invariance
Masaki Kawamoto, Satoshi Masaki, Hayato Miyazaki
In this paper, we consider the nonlinear Schrödinger equation (NLS) with a general homogeneous nonlinearity in dimensions up to three. We assume that the degree (i.e., power) of th…
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]…