Interests
Harmonic analysis
Partial differential equations
Analytic number theory
Interests
Harmonic analysis
Partial differential equations
Analytic number theory
Publication
(with Y. Lee and S. Zheng) Damped nonlinear Schrödinger equation with Stark effect. Submitted.
(with Y. Lee and S. Zheng) Shock formation in traffic flow models with nonlocal look ahead and behind flux. Accepted.
(with N. Basharat, H. Hajaiej, and S. Zheng) Threshold for blowup and stability for nonlinear Schrödinger equation with rotation. Ann. Henri Poincaré 24 (2023), no. 4, 1377—1416.
(with C. Leonard and S. Zheng) Universal upper bound on the blowup rate of nonlinear Schrödinger equation with rotation. Excursions in harmonic analysis. Vol. 6, 59–76, Appl. Numer. Harmon. Anal., Birkhäuser/Springer, Cham, 2021.
(with G. Dai, Y. Yang, N. Zhang, A. Abraham, and H. Liu) A novel fuzzy rule extraction approach using Gaussian kernel-based granular computing. Knowl. Inf. Syst. 61 (2019), 821–846.
(with N. Basharat and S. Zheng) Blowup rate for mass critical rotational nonlinear Schrödinger equations. Nonlinear dispersive waves and fluids, 1–12, Contemp. Math., 725, Amer. Math. Soc., Providence, RI, 2019.
(with H. Fu, H. Liu, B. Han, and Y. Yang) A proximal iteratively regularized Gauss-Newton method for nonlinear inverse problems. J. Inverse Ill-posed Probl. 25 (2017), no. 3, 341–356.
(with X. Li) Local well-posedness of periodic fifth-order KdV-type equations. J. Geom. Anal. 25 (2015), no. 2, 709–739.
(with X. Li) Discrete Fourier restriction associated with Schrödinger equations. Rev. Mat. Iberoam. 30 (2014), no. 4, 1281–1300.
(with X. Li) Discrete Fourier restriction associated with KdV equations. Anal. PDE 6 (2013), no. 4, 859–892.
Discrete Fourier restriction phenomenon associated with some periodic dispersive equations. Thesis (Ph.D.)–University of Illinois at Urbana-Champaign. 2012. 128 pp.
Truncated error estimate on sampling theorem, J. Univ. Chin. Acad. Sci. (Chin. Ser.) 25 (2008), no. 4, 460–466.