4 papers
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…
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…
Note on Strichartz inequalities for the wave equation with potential
Seongyeon Kim, Ihyeok Seo, Jihyeon Seok
We obtain Strichartz inequalities for the wave equation with potentials which behave like the inverse square potential but might be not a radially symmetric function.