1 citations · 1 across the 3 of their papers we have counts for
5 papers · 1 filter
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…
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…
Energy solutions for the fifth-order modified Korteweg de-Vries equations
Chulkwang Kwak, Kiyeon Lee
We consider the Cauchy problem for the fifth-order modified Korteweg-de Vries equation (mKdV) under the periodic boundary condition. The fifth-order mKdV is an asymptotic model for…
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…