Kiyeon Lee

activity

20192022

most citedSmall data scattering of 2d Hartree type Dirac equations

4 citations · 9 across the 6 of their papers we have counts for

collaborators

5 papers

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…

math.AP2019★ 2 cited

On the GWP of focusing energy-ciritical inhomogeneous NLS

Yonggeun Cho, Seokchang Hong, Kiyeon Lee

We consider the focussing energy-critical inhomogeneous nonlinear Schrödinger equation: $i u_{t} + Δ u + g ∣ u ∣^{2} u = 0, u (0) = φ \in H ˙^{1}, 0 \leq g_{i} \leq ∣ x ∣ g \leq g_{s} .$ On the r…

math.AP2019★ 1 cited

Small data scattering of the inhomogeneous cubic-quintic NLS in 2 dimensions

Yonggeun Cho, Kiyeon Lee

The aim of this paper is to show the small data scattering for 2D ICQNLS: $i u_{t} = - Δ u + K_{1} (x) ∣ u ∣^{2} u + K_{2} (x) ∣ u ∣^{4} u .$ Under the assumption that $\left| \partial^j K_l \right| \lesssi…