头像
杨凯
副教授
数学学院
应用数学系
电话:
02552090950
邮箱:
kaiyang@seu.edu.cn
地址:
李文正图书馆503
邮编:
  • 研究方向:色散方程、调和分析。
    2024年4月至今,副教授;2018年8月至2024年4月,讲师,东南大学。2017年8月-2018年8月,博士后,香港科技大学。
    2005-2009,本科,西安交通大学,导师,彭济根;2009-2011,硕士,纽芬兰纪念大学,导师,S. Sadov and M. Kondratieva;2011-2017,博士,爱荷华大学,导师,张晓轶。
  •  K. Yang and X. Zhang, Scattering of the focusing energy-critical NLS with inverse square potential in the non-radial case, Discrete Contin. Dyn. Syst., 43(2023), no. 7, 2608-2636.


     K. Yang, C. Zeng and X. Zhang, Dynamics of threshold solutions for energy critical NLS with inverse square potential,SIAM Journal on Mathematical Analysis, 2022, 54(1): 173-219. 


     K. Yang and X. Zhang, Dynamics of threshold solutions for energy critical NLW with inverse square potential, Math. Z. 302, 353389 (2022). 


     K. Yang, Scattering of the focusing energy-critical NLS with inverse square potential in the radial case, Comm. Pure. Appl. Anal., 16 (2021), Volume 20, Number 1, 77-99.


     B. Li, F. Wang, L. Xue, K. Yang, and K. Zhao, On the Cahn-Hilliard-Brinkman Equations in R^4Global Well-Posedness, Annals of Applied Mathematics, (37)2021, no.4, 513-536.


     D. Li, F. Wang, K. Yang, An improved gradient bound for 2D MBE. J. Differ. Equ. 269(12), 1116511171 (2020).


     K. Yang, Scattering of the energy-critical NLS with inverse square potential, J. Math. Anal. Appl., 487(2020), 124006.


    • K. Yang, The non-squeezing properties of mass subcritical Hartree equations,  J. Math. Anal. Appl., 449 (2017), 427455. 


    • K. Yang, The focusing NLS on exterior domains in three dimensions,  Comm. Pure. Appl. Anal., 16 (2017), no. 6, 2269–2297.

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     D. Li and K. Yang, On the gap property of a linearized NLS operator, Preprint, arXiv:2110.14393.

     Y. Cui, B. Xia and K. Yang, Spectrum of linearized operator at ground states of a system of Klein-Gordon equationsPreprint, arXiv: 2304.09708.

     K. Yang, C. Zeng and X. Zhang, Dynamics of threshold solutions for inter-critical NLS with inverse square potential,Preprint.



  • • 东南大学优秀本科生导师 2024


    • 东南大学第十八届“吾爱吾师”获评“十大最受欢迎教师”2022


    • 江苏省青年基金 2020


    • 江苏省双创博士 2019 


     Ballard Seashore Dissertation Fellowship, University of Iowa 2017 


     Graduate Post Comprehensive Summer Fellowship, University of Iowa 2015  


     AMCS Summer Merit Fellowship, University of Iowa 2012-2014


     Graduate Officer Award, Memorial University of Newfoundland 2011


     Honor of Excellent Undergraduate, Xi'an Jiaotong University 2009