Beomjong Kwak

most citedCritical local well-posedness of the nonlinear Schrödinger equation on the torus

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

collaborators

3 papers

math.AP2025

Global well-posedness of the cubic nonlinear Schrödinger equation on $T^{2}$

Sebastian Herr, Beomjong Kwak

We prove global well-posedness for the cubic nonlinear Schrödinger equation for periodic initial data in the mass-critical dimension $d = 2$ for initial data of arbitrary size in the…

math.AP2024

Global well-posedness of the energy-critical nonlinear Schrödinger equations on $T^{d}$

Beomjong Kwak

In this paper, we prove the global well-posedness of the energy-critical nonlinear Schrödinger equations on the torus $T^{d}$ for general dimensions. This result is new fo…

math.AP2024★ 1 cited

Critical local well-posedness of the nonlinear Schrödinger equation on the torus

Beomjong Kwak, Soonsik Kwon

In this paper, we study the local well-posedness of nonlinear Schrödinger equations on tori $T^{d}$ at the critical regularity. We focus on cases where the nonlinearity $|…

Global well-posedness of the cubic nonlinear Schrödinger equation on T2

Global well-posedness of the energy-critical nonlinear Schrödinger equations on Td

Critical local well-posedness of the nonlinear Schrödinger equation on the torus

Global well-posedness of the cubic nonlinear Schrödinger equation on $T^{2}$

Global well-posedness of the energy-critical nonlinear Schrödinger equations on $T^{d}$