12 citations · 18 across the 13 of their papers we have counts for
13 papers
Sharp Estimates for -dimensional oscillatory integral operators with homogeneous binomial phases
Chu-hee Cho, Jin Bong Lee, Chan Woo Yang
We study oscillatory integral operators in -dimensions with a homogeneous binomial phase \[ Φ(x,y,t)=x^{k-k_P}t^{k_P}+y^{k-k_Q}t^{k_Q}, \qquad 1\le k_P<k_Q<k. \] For compact…
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…
improving properties and maximal estimates for certain multilinear averaging operators
Chu-hee Cho, Jin Bong Lee, Kalachand Shuin
In this article we focus on estimates for two types of multilinear lacunary maximal averages over hypersurfaces with curvature conditions. Moreover, we give a different pro…
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)…
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…
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…
Improved restriction estimate for hyperbolic surfaces in R3
Chuhee Cho, Jungjin Lee
Recently, L. Guth improved the restriction estimate for the surfaces with strictly positive Gaussian curvature in R3. In this paper we generalize his restriction estimate to the su…
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…