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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…
math.AP2018
Nonexistence of self-similar blowup for the nonlinear Dirac equations in (1+1) dimensions
Hyungjin Huh, Dmitry E. Pelinovsky
We address a general system of nonlinear Dirac equations in (1+1) dimensions and prove nonexistence of classical self-similar blowup solutions in the space of bounded functions. Wh…
math.AP2012★ 5 cited
Low regularity solutions to the Chern-Simons-Dirac and the Chern-Simons-Higgs equations in the Lorenz gauge
Hyungjin Huh, Sung-Jin Oh
In this paper, we address the problem of local well-posedness of the Chern-Simons-Dirac (CSD) and the Chern-Simons-Higgs (CSH) equations in the Lorenz gauge for low regularity init…