12 citations · 18 across the 13 of their papers we have counts for
9 papers · 1 filter
Bourgain's counterexample in the sequential convergence problem for the Schrödinger equation
Chu-Hee Cho, Daniel Eceizabarrena
We study the problem of pointwise convegence for the Schrödinger operator on along time sequences. We show that the sharp counterexample to the sequential Schrödinger…
A note on some variations of the maximal inequality for the fractional Schrödinger equation
Chu-hee Cho, Shobu Shiraki
The purpose of this note is to provide a summary of the recent work of the authors on two variations of the pointwise convergence problem for the solutions to the fractional Schröd…
Dimension of divergence sets of oscillatory integrals with concave phase
Chu-hee Cho, Shobu Shiraki
We study the Hausdorff dimension of the sets on which the pointwise convergence of the solutions to the fractional Schrödinger equation fails when $m\in(0,1)…
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…
Pointwise convergence for the elastic wave equation
Chu-Hee Cho, Seongyeon Kim, Yehyun Kwon +1
We study pointwise convergence of the solution to the elastic wave equation to the initial data which lies in the Sobolev spaces. We prove that the solution converges along every l…
Pointwise convergence along a tangential curve for the fractional Schrödinger equation
Chu-hee Cho, Shobu Shiraki
In this paper we study the pointwise convergence problem along a tangential curve for the fractional Schrödinger equations in one spatial dimension and estimate the capacitary dime…
Pointwise convergence of the fractional Schrödinger equation in
Chu-hee Cho, Hyerim Ko
We investigate the pointwise convergence of the solution to the fractional Schrödinger equation in . By establishing estimates for…
Fractal Strichartz estimate for the wave equation
Chu-Hee Cho, Seheon Ham, Sanghyuk Lee
We consider Strichartz estimates for the wave equation with respect to general measures which satisfy certain growth condition. In we obtain the sharp estimate an…
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…