5 papers
On Dirac equations with Hartree type nonlinearity in modulation spaces
Seongyeon Kim, Hyeongjin Lee, Ihyeok Seo
We obtain the local well-posedness for Dirac equations with a Hartree type nonlinearity derived by decoupling the Dirac-Klein-Gordon system. We extend the function space of initial…
Strichartz estimates for the Dirac flow in Wiener amalgam spaces
Seongyeon Kim, Hyeongjin Lee, Ihyeok Seo
In this paper we obtain some new Strichartz estimates for the Dirac flow in the context of Wiener amalgam spaces which control the local regularity of a function and its decay at i…
On Morawetz estimates with time-dependent weights for the Klein-Gordon equation
Jungkwon Kim, Hyeongjin Lee, Ihyeok Seo +1
We obtain some new Morawetz estimates for the Klein-Gordon flow of the form \begin{equation*} \big\||\nabla|^σ e^{it \sqrt{1-Δ}}f \big\|_{L^2_{x,t}(|(x,t)|^{-α})} \lesssim \|f\|_{H…
Local smoothing and Strichartz estimates for the Klein-Gordon equation with the inverse-square potential
Hyeongjin Lee, Ihyeok Seo, Jihyeon Seok
We prove weighted estimates for the Klein-Gordon equation perturbed with singular potentials such as the inverse-square potential. We then deduce the well-posedness of the Ca…
Fractional Quantization and Fractional Quantum Hall Effect
Hyeong Rag Lee
A fractional quantization in a two dimensional space is proposed. The angular momenta of the two dimensional electrons are quantized in fractional numbers by the boundary condition…