4 citations · 13 across the 11 of their papers we have counts for
11 papers
The modified scattering of 2 dimensional semi-relativistic Hartree equations
Soonsik Kwon, Kiyeon Lee, Changhun Yang
In this paper, we consider the asymptotic behaviors of small solutions to the semi-relativistic Hartree equations in two dimension. The nonlinear term is convolved with the Coulomb…
Cauchy problem for Dirac equations with Chern-Simons-Proca gauge field
Hyungjin Huh, Kiyeon Lee
In this paper, we consider the Cauchy problem of Dirac equations with Chern-Simons-Proca (CSP) gauge field. We investigate global well-posedness and scattering theory for the solut…
The modified scattering for Dirac equations of scattering-critical nonlinearity
Yonggeun Cho, Soonsik Kwon, Kiyeon Lee +1
In this paper, we consider the Maxwell-Dirac system in 3 dimension under zero magnetic field. We prove the global well-posedness and modified scattering for small solutions in the…
Conditional large-data global well-posedness of Dirac equation with Hartree-type nonlinearity
Yonggeun Cho, Seokchang Hong, Kiyeon Lee
We study the Cauchy problems for the Hartree-type nonlinear Dirac equations with Yukawa-type potential in two and three spatial dimensions. This paper improves our previous results…
Small data scattering of 2d Hartree type Dirac equations
Yonggeun Cho, Tohru Ozawa, Kiyeon Lee
In this paper, we study the Cauchy problem of 2d Dirac equation with Hartree type nonlinearity with , $0 <…
Local well-posedness of Dirac equations with nonlinearity derived from honeycomb structure in 2 dimensions
Kiyeon Lee
The aim of this paper is to show the local well-posedness of 2 dimensional Dirac equations with power type and Hartree type nonlinearity derived from honeycomb structure in f…
Scattering and non-scattering of the Hartree-type nonlinear Dirac system at critical regularity
Yonggeun Cho, Seokchang Hong, Kiyeon Lee
We consider Cauchy problem of the Hartree-type nonlinear Dirac equation with potentials given by . In previous works, a standa…
On the focusing energy-critical inhomogeneous NLS: weighted space approach
Yongguen Cho, Kiyeon Lee
This paper is concerned with the global well-posedness and finite time blowup problem for the 3D focusing energy-critical inhomogeneous NLS. In the previous results \cite{chkl2, ch…
Almost Optimal Local Well-Posedness of the Chern-Simons-Dirac System in the Coulomb Gauge
Seokchang Hong, Kiyeon Lee
In this paper, we study the local well-posedness of Chern-Simons-Dirac system in the Coulomb gauge for initial data in for . The novelty of this paper is to…
On the GWP of focusing energy-ciritical inhomogeneous NLS
Yonggeun Cho, Seokchang Hong, Kiyeon Lee
We consider the focussing energy-critical inhomogeneous nonlinear Schrödinger equation: On the r…
Small data scattering of the inhomogeneous cubic-quintic NLS in 2 dimensions
Yonggeun Cho, Kiyeon Lee
The aim of this paper is to show the small data scattering for 2D ICQNLS: Under the assumption that $\left| \partial^j K_l \right| \lesssi…