2 citations · 5 across the 5 of their papers we have counts for
9 papers
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…
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…
Global well-posedness and scattering of the energy critical Maxwell-Klein-Gordon system in the Lorenz gauge
Seokchang Hong
We study initial value problem of the -dimensional Maxwell-Klein-Gordon system (MKG) in the Lorenz gauge. Since (MKG) in the Lorenz gauge does not possess an obvious null st…
A Note on the smoothness of flow maps for the Yang-Mills system in the Lorenz gauge
Seokchang Hong
We study the failure of the smoothness of flow maps for the dimensional Yang-Mills system in the Lorenz gauge by Knapp type counterexamples. This shows a gap between the sc…
On the scaling critical regularity of the Yang-Mills-Higgs and the Yang-Mills-Dirac system in the Lorenz gauge
Seokchang Hong
In this paper, we study the local well-posedness of the -dimensional Yang-Mills-Higgs (YMH) and the Yang-Mills-Dirac (YMD) system in the Lorenz gauge. Since there is some bi…
On the scaling critical regularity of the Yang-Mills system in the Lorenz gauge
Seokchang Hong
In this paper, we prove the local well-posedness of the Yang-Mills system in the Lorenz gauge for initial data in the Besov space with ad…