1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.AP2025
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…
math.AP2021
Asymptotic behavior in time of solution to system of cubic nonlinear Schr"odinger equations in one space dimension
Satoshi Masaki, Jun-ichi Segata, Kota Uriya
In this paper, we consider the large time asymptotic behavior of solutions to systems of two cubic nonlinear Schr"odinger equations in one space dimension. It turns out that for a…
math.AP2012★ 1 cited
Refined energy inequality with application to well-posedness for the fourth order nonlinear Schrodinger type equation on torus
Jun-ichi Segata
We consider the time local and global well-posedness for the fourth order nonlinear Schrodinger type equation (4NLS) on the torus. The nonlinear term of (4NLS) contains the derivat…