Preprints

Restriction Estimates for the space curves with respect to general measures
(with Seheon Ham)

On the finite time blowup for mass-critical Hartree equations
(with Yongguen Cho, Gyeongha Hwang and Soonsik Kwon)

Dispersive estimates for the Navier-Stokes equations in the rotational framework
(with Roy Takada and Youngwoo Kho) 

On inhomogeneous Strichartz estimates for the Schr\"odinger equation (with Ihyeok Seo)

Profile decompositions and Blowup phenomena of mass critical fractional Schr\"odinger equations
(with Yongguen Cho, Gyeongha Hwang and Soonsik Kwon)
Nonlinear Analysis Series A: Theory, Methods & Application, to appear.

Strichartz estimates in spherical coordinates (with Yongguen Cho)
Indiana University Mathematics Journal, to appear.

Lebesgue space estimates for a class of Fourier integral operators associated with wave propagation (with Andreas Seeger)
Mathematische Nachrichten, to appear.


Square functions and maximal operators associated with radial Fourier multipliers (with Keith Rogers and Andreas Seeger)
Essays on Analysis and Applications in Honor of Elias M. Stein, to appear.

Published papers

On space time estimates for the Schr\"odinger operator
(with Keith Rogers and Andreas Seeger)
Journal de Mathematiques Pures et Appliqu\'ees 99 (2013), 62--85. (pdf-preprint)

Remarks on the multiplier operators associated with a cylindrical distance function
(with Sunghun Choi and, Sunggeum Hong)
J. Math. Anal. Appl, 399, March 2013, Pages 38--49. (pdf-preprint)

An endpoint Strichartz estimate in spherical coordinates
(with Yonggeun Cho and Gyeongha Hwang)
RIMS Kokyuroku Bessatsu B33 (2012), 49--57.
(pdf-preprint)

Problems on Pointwise Convergence of Solutions to the Schrodinger Equation (with Chu-Hee Cho and Ana Vargas)
Journal of Fourier Analysis and Applications 18 (2012), 972--994. (pdf-preprint)

Improved bounds for Stein's square function (with Keith Rogers and Andreas Seeger)
Proceedings of the London Mathematical Society 104 (2012), 1198--1234.
(pdf-preprint)

On the cone multiplier in $\mathbb R^3$ (with A. Vargas)
J. Funct.
Anal. 263 (2012), 925--940. (pdf-preprint)

The Schr\"odinger equation along curves and the quantum harmonic oscillator (with K. Rogers)
Adv. Math.
229 (2012), 1359--379. (pdf-preprint)

A note on unique continuation for the Schrodinger equation (with I. Seo)
J. Math.
Anal. Appl. 389 (2012), 461--468.

On Hartree equations with derivatives (with Y. Cho and T. Ozawa)
Nonlinear Analysis 74 (2011), 2094--2108.


An endpoint space-time estimate for the Schr\"odinger equation (with K. Rogers and Ana Vargas)
Advances in Math. 226 (2011), 4266--4285. (pdf-preprint)

On mass concentration for the $L^2$-critical Nonlinear Schr\"odinger equations of higher orders (with M. Chae and S. Hong)
Discrete and Continuous Dynamical System 29, 2011.
(preprint)

Sharp bounds for multiplier operators of negative indices associated with degenerate curves (with Ihyeok Seo)
Math. Z. 267(2011), 291--323.

Mixed norm estimates for Schr\"odinger waves and their applications (with M. Chae and Y. Cho)
Comm. in PDE 35(2010), 906--943. (pdf-preprint)

Restriction estimates for some surfaces with vanishing curvatures (with Ana Vargas)
Journ. Funct. Anal. 258(2010), 2884-2909.

On mass concentration for the $L^2$-critical Nonlinear Schr\"odinger equations (with M. Chae, J. Kim, S. Hong and C. Yang)
Comm. Partial Differential equations 34 (2009), no. 4-6, 486-505. (pdf-preprint)

Sharp null form estimates for the wave equation in $R^{3+1}$ (with K. Rogers and Ana Vargas)
Int. Math. Res. Not. IMRN 2008, Art. ID rnn 096, 18 pp. (pdf-preprint)

Sharp null form estimates for the wave equation (with Ana Vargas)
Amer. J. Math.
130 (2008), no. 5, 1279--1326. (pdf-preprint)

Previous papers

Weighted restriction theorems for space curves (with J.-G. Bak and J. lee)
J. Math.
Anal. Appl. 334 (2007), no. 2, 1232--1245.

A maximal inequality associated to Schrodinger type equation (with Y. Cho and Y. Shim)
Hokkaido Math. J. 35 (2006), no. 4, 767--778. (pdf-preprint)

On pointwise convergence of the solutions to Schrodinger equations in $R\sp 2$,
Int. Math.
Res. Not. 2006,Art. ID 32597, 21 pp.

Linear and bilinear estimates for oscillatory integral operators related to restriction to hypersurfaces,
J. Funct. Anal. 241 (2006), no. 1, 56--98.

Bilinear restriction estimates for surfaces with curvatures of different signs,
Trans. Amer. Math. Soc. 358 (2006), no. 8, 3511--3533.

Sharp $L\sp p$-$L\sp q$ estimates for Bochner-Riesz operators of negative index in $R\sp n$, $n\geq 3$
(with Y. Cho, Y. Kim and Y. Shim)
J. Funct. Anal. 218 (2005), no. 1, 150--167.

A maximal inequality for filtration on some function spaces (with Y. Cho and E. Koh)
Osaka J. Math.
41 (2004), no. 2, 267--276. (pdf.preprint)

Restriction of the Fourier transform to a quadratic surface in $R\sp n$ (with J.-G.
Bak)
Math. Z. 247 (2004), no. 2, 409--422.

Estimates for an oscillatory integral operator related to restriction to space curves (with J.-G. Bak)
Proc. Amer. Math. Soc. 132 (2004), no. 5, 1393--1401.

Improved bounds for Bochner-Riesz and maximal Bochner-Riesz operators,
Duke Math.
J. 122 (2004), no. 1, 205--232.

Endpoint $L\sp p$-$L\sp q$ estimates for some classes of degenerate Radon transforms in $R\sp 2$,
Math. Res. Lett. 11 (2004), no. 1, 85--101.

Endpoint $L\sp p-L\sp q$ estimates for degenerate Radon transforms in $R\sp 2$ associated with real-analytic functions,
Math. Z. 243 (2003), no. 2, 217--241.

Some sharp bounds for the cone multiplier of negative order in $R\sp 3$,
Bull. London Math. Soc. 35 (2003), no. 3, 373--390.

Endpoint estimates for the circular maximal function,
Proc. Amer. Math. Soc. 131 (2003), no. 5, 1433--1442.

Remarks on the degenerate Radon transform in $\bold R\sp 2$,
Proc. Amer. Math. Soc. 129 (2001), no. 11, 3373--3378.

Boundary singular sets for Stokes equations, with Hi Jun, Choi,
The Navier-Stokes equations: theory and numerical methods (Varenna, 2000), 167--177, Lecture Notes in Pure and Appl. Math., 223, Dekker, New York, 2002.