Publications / Preprints
(with Sanghyuk Lee and Jaehyeon Ryu) Unique continuation for the heat operator with potentials in weak spaces, submitted.
(with Jon Bennett) Fourier duality in the Brascamp-Lieb inequality, to appear in Math. Proc. Camb. Phil. Soc..
(with Sanghyuk Lee and Jaehyeon Ryu) Sharp Lp–Lq estimates for the spectral projection associated with the twisted Laplacian, submitted.
(with Sanghyuk Lee and Jaehyeon Ryu) Estimates for the Hermite spectral projection, submitted.
(with Sanghyuk Lee) Maximal estimates for the bilinear spherical averages and the bilinear Bochner-Riesz operators, J. Funct. Anal. 279 (2020), no. 7, 108629, 29 pp.
(with Yehyun Kwon and Sanghyuk Lee) Carleman estimates and boundedness of associated multiplier operators, submitted.
(with Sanghyuk Lee and Ana Vargas) Improved bound for the bilinear Bochner-Riesz operators, Math. Ann. 372 (2018),no. 1-2, 581–609.
(with Yehyun Kwon and Sanghyuk Lee) Uniform Sobolev inequalities for second order non-elliptic differential operators, Adv. Math. 302 (2016), 323–350.
(with Jeong-han Kang, Seung-Yeal Ha and Kyungkeun Kang) How do cultural classes emerge from assimilation and distinction? An extension of the Cucker- Smale flocking Model, J. Math. Sociol. 38 (2014), no. 1, 47–71.
(with Seung-Yeal Ha, Robert M. Strain) Uniform L1-stability of the relativistic Boltzmann equation near vacuum, Commun. Pure Appl. Anal. 12 (2013) no. 2, 1141–1161.
(with Seung-Yeal Ha, Jeong-han Kang and Kyungkeun Kang) Emergence of multi-cluster configurations from attractive and repulsive interactions, Math. Models Methods Appl. Sci. 22 (2012).
(with Seung-Yeal Ha and Moon-Jin Kang) Emergent behavior of a generalized Visecek-type flocking model, Nonlinearity, 23 (2010) 3139–3156.