Kiyeon Lee

activity

20192023

most citedSmall data scattering of 2d Hartree type Dirac equations

4 citations · 13 across the 11 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.AP2021★ 4 cited

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 $c (∣ \cdot ∣^{- γ} * ⟨ ψ, β ψ ⟩) β ψ$ with $c \in R ∖ {0}$ , $0 <…

math.AP2021

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 $H^{s}$ f…

math.AP2021★ 1 cited

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 $V_{b} (x) = \frac{1}{4 π} \frac{e ^{- b ∣ x ∣}}{∣ x ∣} (b \geq 0)$ . In previous works, a standa…