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20122025
most citedRefined energy inequality with application to well-posedness for the fourth order nonlinear Schrodinger type equation on torus

1 citations · 1 across the 3 of their papers we have counts for

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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…