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math.AP2023★ 1 cited
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…
math.AP2023
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…