6 papers
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…
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…