collaborators

4 papers

math.AP2026

A universal bound on the blow-up rate for the focusing mass-critical nonlinear Schrödinger equation

Beomjong Kwak, Soonsik Kwon

In this paper, we investigate a universal blow-up bound for the focusing mass-critical nonlinear Schrödinger equation for general initial data in , extending pre…

math.AP2026

Global well-posedness of the cubic nonlinear Schrödinger equation on

Sebastian Herr, Beomjong Kwak

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

math.AP2024

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

Beomjong Kwak

In this paper, we prove the global well-posedness of the energy-critical nonlinear Schrödinger equations on the torus for general dimensions. This result is new f…

math.AP2024

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 at the critical regularity. We focus on cases where the nonlinearity $…