个人简历

Educational Background
► 09/2012--06/2015, PhD in Mathematics, The Graduate School of China Academy of Engineering Physics, Beijing. Supervisor: Prof. Miao Changxing, Major: mathematics
► 09/2009--06/2012, Master of Science, The Graduate School of China Academy of Engineering Physics, Beijing. Supervisor: Prof. Miao Changxing, Major: mathematics
► 09/2005--07/2019, Bachelor in Mathematics, Nankai University, Tianjin, China
Working Experience
► 07/2018--Present, Assistant Professor, School of Mathematics and Statistics, Beijing Institute of Technology
► 07/2015--06/2018, Post-doctor in Mathematics, Beijing International Center for Mathematical Research (BICMR), Peking University, Beijing. Supervisor: Prof. Gang Tian
► 01/2016--01/2017, Post-doctor in Mathematics, (LAGA) Laboratoire Analyse, Géométrie et Applications. Institut Galilée. Université Paris 13, Sorbonne Paris Cité. 99, avenue Jean-Baptiste Clément, 93430, France. Supervisor: Prof. Thomas Duyckaerts

近期论文

Publications
Part-A. Nonlinear Dispersive equations
[1] T. Duyckaerts, J. Yang: Scattering to a stationary solution for the superquintic radial wave equation outside an obstacle. https://arxiv.org/abs/1910.00811
[2] T. Duyckaerts, J. Yang: Blow-up of a critical Sobolev norm for energy-subcritical and energy-supercritical wave equations. Analysis and PDE. Vol. 11 (2018), no. 4, 983-1028.
[3] C. Miao, G. Xu, J. Yang: Global well-posedness for the defocusing Hartree equation with radial data in R4. Commun. Contemp. Math. Vol.22 (2020), no. 2, 1950004.
[4] C. Miao, J. Yang, T. Zhao: The global well-posedness and scattering for the 5-D defocusing conformal invariant NLW with radial initial data in a critical Besov space. Pacific J. Math. Vol. 305 (2020), no. 1, 251-290.
[5] G. Xu, J. Yang: Long time dynamics of the 3D radial NLS with the combined terms. Acta. Math. Sin. (Engl. Ser.) Vol. 32 (2016), no. 5, 521-540.
[6] J. Yang: Nonlinear Schrödinger equations on compact Zoll manifolds with odd growth. Sci. China Math. 58 (2015), no. 5, 1023-1046.
[7] C. Gao, C. Miao, J. Yang: The interctitical defocusing nonlinear Schrödinger equations with radial initial data in dimensions four and higher. Anal. Theory. Appl. Vol. 35 (2019), no. 2. 205-234.
[8] J. Yang: Global existence for nonlinear system of wave equations in 3-D domains. Appl. Math. (Warsaw) 38 (2011), no. 4, 435-452
Part-B. Harmonic Analysis and its application.
[1] C. Miao, C. D. Sogge, Y. Xi, J. Yang: Bilinear Kakeya-Nikodym averages of eigenfunctions on compact Riemannian surfaces. Journal of Functional Analysis, 271 (2016), no. 10 , 2752-2775.
[2] C. Miao, J. Yang, J. Zheng: On local smoothing problems and Stein's maximal spherical means. Proceedings of the American Mathematical Society. 145 (2017), no. 10, 4269-4282.
[3] C. Miao, J. Yang, J. Zheng: An improved maximal inequality for 2D fractional order Schrödinger operators, Studia Math. 230 (2015), no. 2, 121-165.
[4] C. Miao, J. Yang, J. Zheng: On Wolff’s L5/2−Kakeya maximal inequality in R3, Forum Math. 27 (2015), no. 5, 3053-3077
[5] C. Gao, C. Miao, J. Yang: Square function inequality for a class of Fourier integral operators satisfying cinematic curvature conditions. To appear in Forum Mathematicum