2 papers
math.AP2019
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…
math.AP2019
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…