1 citations · 1 across the 2 of their papers we have counts for
14 papers
Strichartz estimates in Wiener amalgam spaces and applications to nonlinear wave equations
Seongyeon Kim, Youngwoo Koh, Ihyeok Seo
In this paper we obtain some new Strichartz estimates for the wave propagator in the context of Wiener amalgam spaces. While it is well understood for the Schrödi…
Strichartz estimates and local regularity for the elastic wave equation with singular potentials
Seongyeon Kim, Yehyun Kwon, Ihyeok Seo
We obtain weighted estimates for the elastic wave equation perturbed by singular potentials including the inverse-square potential. We then deduce the Strichartz estimates un…
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…
On local-in-time Strichartz estimates for the Schrödinger equation with singular potentials
Seongyeon Kim, Ihyeok Seo, Jihyeon Seok
There have been a lot of works concerning the Strichartz estimates for the perturbed Schrödinger equation by potential. These can be basically carried out adopting the well-known p…
On the integrability of the wave propagator arising from the Liouville-von Neumann equation
Youngwoo Koh, Yoonjung Lee, Ihyeok Seo
The Liouville-von Neumann equation describes the change in the density matrix with time. Interestingly, this equation was recently regarded as a wave equation for wave functions bu…
On well-posedness for the inhomogeneous nonlinear Schrödinger equation in the critical case
Jungkwon Kim, Yoonjung Lee, Ihyeok Seo
In this paper we study the well-posedness for the inhomogeneous nonlinear Schrödinger equation in Sobolev spaces , . The well-posed…