个人简历

Working Experience

[5] Since 2017. 01, Beijing Institute of Technology, Associate Professor
[4] 2018. 07, Cardiff Universtity, Marie Skłodowska-Curie Fellow
[3] 2016. 03-2017. 02, Stanford University, Visiting Scholar, Mentor: András Vasy
[2] 2012. 11-2013. 10, The Australian National University, Postdoc., Mentor: Andrew Hassell
[1] 2011. 08-2016. 12, Beijing Institute of Technology, Lectuer

Educational Background

• 2008. 09-2011. 07, PhD, Institute of Applied Physics and Computational Mathematics (China), Advisor: Changxing Miao
• 2005. 09-2008. 07, MA. Sc, Institute of Applied Physics and Computational Mathematics (China), Advisor: Changxing Miao
• 2001. 09-2005. 07, B. S., Lanzhou University

近期论文

Preprints

(22) Y. Sire, C. D. Sogge, C. Wang and J. Zhang, Strichartz estimates and Strauss conjecture on asymptotical hyperbolic manifolds, arXiv:1910.02510.
(21) J. G. Redman, A. Hassell, J. Shapiro and J. Zhang, Existence and asymptotics of nonlinear Helmholtz eigenfunctions, arXiv:1908.04890.
(20) C. Miao, J. Zhang and J. Zheng, Nonlinear Schrödinger equation with Coulomb potential, arXiv:1809.06685.
(19) J. Zhang and J. Zheng, Global-in-time Strichartz estimate and cubic Schrödinger equation on metric cone, arXiv:1702.05813.
(18) H. Mizutani, J. Zhang and J. Zheng, Uniform resolvent estimates for Schrödinger operator with an inverse square potential, J. Funct. Anal.(2019), DOI 10.1016/ j.jfa.2019.108350.
(17) J. Zhang and J. Zheng, Strichartz estimate and wave equation in a conic singular space, Math. Ann. (2019) DOI 10.1007/s00208-019-01892-7.
(16) C. Miao, J. Zhang and J. Zheng, Linear adjoint restriction estimates for paraboloid, Math. Z. 292(2019), 427-451.
(15) J. Zhang and J. Zheng, Strichartz estimate and nonlinear Klein-Gordon on non-trapping scattering space, J. Geom. Anal. 29(2019), 2957-€“2984.
(14) R. Killip, C. Miao, M. Visan, J. Zhang and J. Zheng, Sobolev spaces adapted to the Schrödinger operator with inverse-square potential, Math. Z. 288(2018), 1273-1298.
(13) J. Zhang and J. Zheng, Global-in-time Strichartz estimate on scattering manifold, Commu. in PDE, 42(2017), 1962-1981.
(12) R. Killip, C. Miao, M. Visan, J. Zhang and J. Zheng, The energy-critical NLS with inverse-square potential, DCDS-A, 37(2017), 3831-3866.
(11) A. Hassell and J. Zhang, Global-in-time Strichartz estimates on nontrapping asymptotically conic manifolds, Analysis & PDE, 9(2016), 151-192.
(10) C. Miao, J. Zhang and J. Zheng, Scattering theory for the radial $H^{1/2}$-critical wave equation with a cubic convolution, J. Differential Equations 259 (2015) 7199-7237.
(09) J. Zhang, Linear restriction estimates for Schrödinger equation on metric cones, Commun. in PDE., 40(2015), 995-1028.
(08) J. Zhang, Strichartz estimates and nonlinear wave equation on nontrapping asymptotically conic manifolds, Advances in Math., 271(2015), 91-111.
(07) C. Miao, J. Zhang and J. Zheng, Maximal estimates for Schrödinger equation with inverse-square potential, Pacific Journal of Mathematics 273(2015), 1-19.
(06) J. Zhang and J. Zheng, Scattering theory for nonlinear Schrödinger equations with inverse-square potential, J. Funct. Anal. 267(2014), 2907-2932.
(05) C. Miao, J. Zhang and J. Zheng, The defocusing energy-critical wave equation with a cubic convolution, Indiana Univ. Math. J. 63(2014), 993-1015.
(04) C. Miao, H. Wu and J. Zhang, Scattering theory below energy for the cubic fourth-order Schrödinger equation, Mathematische Nachrichten, 288(2014), 1-26.
(03) C. Miao, J. Zhang and J. Zheng, Strichartz estimates for wave equation with inverse-square potential, Communications in Contemporary Mathematics, 15(2013), ID1350026.
(02) C. Miao, J. Zhang and J. Zheng, A note on the cone restriction conjecture, Proceedings of the Amer. Math. Soc.140(2012), 2091-2102.
(01) C. Miao and J. Zhang, On global solution to the Klein-Gordon-Hartree equation below energy space, J. Differential Equations 250(2011), 3418-3447.