4 citations · 8 across the 17 of their papers we have counts for
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On the splitting method for the nonlinear Schrödinger equation with initial data in
Woocheol Choi, Youngwoo Koh
In this paper, we establish a convergence result for the operator splitting scheme introduced by Ignat, with initial data in , for the nonlinear Schrödinger equation : $…
Unique continuation for the Schrödinger equation with gradient term
Youngwoo Koh, Ihyeok Seo
We obtain a unique continuation result for the differential inequality by establishing Carleman estimates. Here, is…
The Minkowski dimension of interior singular points in the incompressible Navier--Stokes equations
Youngwoo Koh, Minsuk Yang
We study the possible interior singular points of suitable weak solutions to the three dimensional incompressible Navier--Stokes equations. We present an improved parabolic upper M…
Strichartz estimates for the magnetic Schrödinger equation with potentials of critical decay
Seonghak Kim, Youngwoo Koh
We study the Strichartz estimates for the magnetic Schrödinger equation in dimension . More specifically, for all Schrödinger admissible pairs , we establish the est…
Weak solutions for one-dimensional non-convex elastodynamics
Seonghak Kim, Youngwoo Koh
We explore local existence and properties of classical weak solutions to the initial-boundary value problem of a one-dimensional quasilinear equation of elastodynamics with non-con…
Inhomogeneous Strichartz estimates for Schrödinger's equation
Youngwoo Koh, Ihyeok Seo
Foschi and Vilela in their independent works (\cite{F},\cite{V}) showed that the range of for which the inhomogeneous Strichartz estimate $ \big\|\int_{0}^{…