T. Ozawa

activity

20072023

most citedWell-posedness for a generalized derivative nonlinear Schrödinger equation

47 citations · 203 across the 36 of their papers we have counts for

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Showing 2012 · math.APShow all

2 papers · 2 filters

math.AP2012

Small data blow-up for a system of nonlinear Schrödinger equations

Tohru Ozawa, Hideaki Sunagawa

We give examples of small data blow-up for a three-component system of quadratic nonlinear Schrödinger equations in one space dimension. Our construction of the blowing-up solution…

math.AP2012★ 5 cited

On the Cauchy problem of fractional Schrödinger equation with Hartree type nonlinearity

Yonggeun Cho, Gyeongha Hwang, Hichem Hajaiej +1

We study the Cauchy problem for the fractional Schrödinger equation $i \partial_{t} u = (m^{2} - Δ)^{\frac{α}{2}} u + F (u) in R^{1 + n},$ where $n \geq 1$ , $m \geq 0$ , $1 < α < 2$ ,…