4 citations · 8 across the 17 of their papers we have counts for
19 papers
Time splitting method for nonlinear Schrödinger equation with rough initial data in
Hyung Jun Choi, Seonghak Kim, Youngwoo Koh
We establish convergence results related to the operator splitting scheme on the Cauchy problem for the nonlinear Schrödinger equation with rough initial data in , $$ \left\{…
On local well-posedness of nonlinear dispersive equations with partially regular data
Youngwoo Koh, Yoonjung Lee, Ihyeok Seo
We revisit the local well-posedness theory of nonlinear Schrödinger and wave equations in Sobolev spaces and , . The theory has been well established o…
Pointwise convergence of sequential Schrödinger means
Chu-Hee Cho, Hyerim Ko, Youngwoo Koh +1
We study pointwise convergence of the fractional Schrödinger means along sequences which converge to zero. Our main result is that bounds on the maximal function $\sup_{n} |e…
Convergence analysis of the splitting method to the nonlinear heat equation
Hyung Jun Choi, Woocheol Choi, Youngwoo Koh
In this paper, we analyze an operator splitting scheme of the nonlinear heat equation in (): in $Ω\times(0,\infty…
A global space-time estimate for dispersive operators through its local estimate
Chu-hee Cho, Youngwoo Koh, Jungjin Lee
We will show that a local space-time estimate implies a global space-time estimate for dispersive operators. In order for this implication we consider a Littlewood-Paley type squar…
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…
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…
Strichartz estimates for the Schrödinger propagator in Wiener amalgam spaces
Seongyeon Kim, Youngwoo Koh, Ihyeok Seo
In this paper we study the Strichartz estimates for the Schrödinger propagator in the context of Wiener amalgam spaces which, unlike the Lebesgue spaces, control the local regulari…
Strichartz and smoothing estimates in weighted spaces and their applications
Youngwoo Koh, Ihyeok Seo
The primary objective in this paper is to give an answer to an open question posed by J. A. Barceló, J. M. Bennett, A. Carbery, A. Ruiz and M. C. Vilela concerning the problem of d…
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}^{…
Strichartz estimates for Schrödinger equations in weighted spaces and their applications
Youngwoo Koh, Ihyeok Seo
We obtain weighted Strichartz estimates for Schrödinger equations , , of general orders with radial data with respec…
On inhomogeneous Strichartz estimates for fractional Schrödinger equations and their applications
Chu-Hee Cho, Youngwoo Koh, Ihyeok Seo
In this paper we obtain some new inhomogeneous Strichartz estimates for the fractional Schrödinger equation in the radial case. Then we apply them to the well-posedness theory for…
Global well-posedness for higher-order Schrödinger equations in weighted spaces
Youngwoo Koh, Ihyeok Seo
We obtain the global well-posedness for Schrödinger equations of higher orders in weighted spaces. This is based on weighted Strichartz estimates for the corresponding…
On weighted estimates for solutions of the wave equation
Youngwoo Koh, Ihyeok Seo
In this paper we consider weighted integrability for solutions of the wave equation. For this, we obtain some weighed estimates for the solutions with weights in Morrey…