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.