Ryosuke Hyakuna

activity

20182025

collaborators

3 papers

math.AP2025

Global well-posedness for the 1D cubic nonlinear Schrödinger equation in $L^{p}, p > 2$

Ryosuke Hyakuna

In this paper, we show that the one dimensional cubic nonlinear Schrödinger equation is globally well posed in $L^{p}$ for $2 \leq p < 13/6$ . In particular, we prove that the global sol…

math.AP2022

Well-posedness for the 1D cubic nonlinear Schrödinger equation in $L^{p}$ , $p > 2$

Ryosuke Hyakuna

In this paper, local well-posedness is shown for the one dimensional cubic nonlinear Schrödinger equation in $L^{p}$ -spaces for $2 < p < 4$ , which generalizes a classical result for $p=2…

math.AP2018

Well-posedness and decay estimates for 1D nonlinear Schrödinger equations with Cauchy data in $L^{p}$

Ryosuke Hyakuna

In this paper, we establish a standard $L^{p}$ -theory of solutions to one dimensional nonlinear Schrödinger equations with the power like nonlinearity. More precisely, we extend the…

Global well-posedness for the 1D cubic nonlinear Schrödinger equation in Lp,p>2

Well-posedness for the 1D cubic nonlinear Schrödinger equation in Lp, p>2

Well-posedness and decay estimates for 1D nonlinear Schrödinger equations with Cauchy data in Lp

Global well-posedness for the 1D cubic nonlinear Schrödinger equation in $L^{p}, p > 2$

Well-posedness for the 1D cubic nonlinear Schrödinger equation in $L^{p}$ , $p > 2$

Well-posedness and decay estimates for 1D nonlinear Schrödinger equations with Cauchy data in $L^{p}$