3 papers
math.AP2026
Fefferman--Stein-type estimates and fractional NLS in Fourier Sobolev spaces
Divyang G. Bhimani, Ryosuke Hyakuna
In this paper, we prove a sharp Fefferman--Stein-type estimate for the fractional Schrödinger equation, which can be regarded as a generalized Strichartz estimate for data in the…
math.AP2026
Global well-posedness for the 1D cubic nonlinear Schrödinger equation in
Ryosuke Hyakuna
In this paper, we show that the one dimensional cubic nonlinear Schrödinger equation is globally well posed in for . In particular, we prove that the global so…
math.AP2024
Unconditional well-posedness for the nonlinear Schrödinger equation in Bessel potential spaces
Ryosuke Hyakuna
The Cauchy problem for the nonlinear Schrödinger equation is called unconditionally well posed in a data space if it is well posed in the usual sense and the solution is uniqu…