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 2019Show all

3 papers · 1 filter

math.AP2019★ 2 cited

Almost Optimal Local Well-Posedness of the Chern-Simons-Dirac System in the Coulomb Gauge

Seokchang Hong, Kiyeon Lee

In this paper, we study the local well-posedness of Chern-Simons-Dirac system in the Coulomb gauge for initial data in $H^{s} (R^{2})$ for $s > 0$ . The novelty of this paper is to…

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…