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On Morawetz estimates for the elastic wave equation
Seongyeon Kim, Ihyeok Seo
We establish Morawetz-type estimates for solutions to the elastic wave equation with singular weights of the form or . In particular, we show that space-ti…
On the radius of spatial analyticity for the Majda-Biello and Hirota-Satsuma systems
Seongyeon Kim, Ihyeok Seo
We investigate the persistence of spatial analyticity for solutions to the Majda-Biello and Hirota-Satsuma systems with analytic initial data. This result is the first to establish…
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…