6 papers
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, Satoshi Masaki, Hayato Miyazaki
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 gaug…
High-Velocity Inverse Scattering for Nonlinear Schrödinger Equations with Spatially Dependent Nonlinearities
Satoshi Masaki, Yaxin Zhao
We study a high-velocity inverse scattering problem for nonlinear Schrödinger equations with spatially dependent nonlinearities in dimensions . We consider the whole mass-s…
Modified scattering type asymptotic behavior for a quadratic nonlinear Schrödinger system under the mass-resonance condition in two dimensions
Satoshi Masaki, Kota Uriya
We study a system of nonlinear Schrodinger equations under the mass-resonance condition and provide a complete description of the asymptotic behavior of small solutions in two spac…
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 t…
Non-polynomial conserved quantities for ODE systems and its application to the long-time behavior of solutions to cubic NLS systems
Satoshi Masaki, Jun-ichi Segata, Kota Uriya
In this paper, we investigate the asymptotic behavior of small solutions to the initial value problem for a system of cubic nonlinear Schrodinger equations (NLS) in one spatial dim…
Global existence and large-time behavior of solutions to cubic nonlinear Schrödinger systems without coercive conserved quantity
Satoshi Masaki
In this article, we investigate the large-time behavior of small solutions to a system of one-dimensional cubic nonlinear Schrödinger equations with two components. In previous st…