2 papers
math.AP2026
Long-range scattering for 2D Dirac-Hartree equations
Kiyeon Lee, Changhun Yang
We investigate the long-time behavior of small solutions to the Dirac-Hartree equation in two spatial dimensions. This model describes the mean-field dynamics of relativistic fermi…
math.AP2024
Scattering for the dispersion managed nonlinear Schrödinger equation
Mi-Ran Choi, Kiyeon Lee, Young-Ran Lee
We consider the dispersion managed nonlinear Schrdinger equations with quintic and cubic nonlinearities in one and two dimensions, respectively. We prove the global well-posedness…