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J-GLOBAL ID：202101014813741916   Update date: Aug. 26, 2024

Zhou Xiaodan

ジョウ シャオダン | Zhou Xiaodan
Affiliation and department：
Okinawa Institute of Science and Technology Graduate University

About Okinawa Institute of Science and Technology Graduate University


Research field  (1)： Mathematical analysis
Research keywords  (1)： Analysis on metric spaces
Research theme for competitive and other funds  (2)：
  • 2022 - 2025 Quasiconformal and Sobolev mappings on metric measure spaces
  • 2020 - 2023 Hamilton-Jacobi equations on metric measure spaces
Papers (16)：
  • Panu Lahti, Andrea Pinamonti, Xiaodan Zhou. BV Functions and Nonlocal Functionals in Metric Measure Spaces. The Journal of Geometric Analysis. 2024. 34. 10
  • Panu Lahti, Andrea Pinamonti, Xiaodan Zhou. A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces. Nonlinear Analysis. 2024. 241. 113467-113467
  • Antoni Kijowski, Qing Liu, Xiaodan Zhou. Horizontally quasiconvex envelope in the Heisenberg group. Revista Matemática Iberoamericana. 2024. 40. 1. 57-92
  • Panu Lahti, Xiaodan Zhou. Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces. Analysis and Geometry in Metric Spaces. 2024. 12. 1
  • Qing Liu, Xiaodan Zhou. Differential games and Hamilton-Jacobi-Isaacs equations in metric spaces. Minimax Theory and its Applications 8 (2023), no. 1, 121-138. 2023. 8. 1. 121-138
ｍore...
Lectures and oral presentations  (27)：
  • Superposition of subsolutions to infinite Laplace equation in disjoint variables
    (AMS-UMI International joint meeting 2024, Special session "Nonlinear Problems with Nonstandard Growth Conditions and Analysis on Metric Spaces" 2024)
  • Uniqueness of Green functions in metric spaces, yes and no
    (RIMS workshop "Harmonic Analysis and Nonlinear Partial Differential Equations" 2024)
  • Uniqueness of Green functions in metric spaces, yes and no
    (Keio Nonlinear Analysis seminar 2024)
  • Discontinuous eikonal equations in metric measure spaces
    (AMS Spring Eastern Sectional Meeting 2024)
  • Discontinuous eikonal equations in metric measure spaces
    (OIST Workshop Geometric Aspects of Partial Differential Equations 2024)
ｍore...
Education (2)：
  • 2011 - 2016 University of Pittsburgh Department of Mathematics PhD
  • 2007 - 2011 Beijing Normal University Mathematics Bachelor
Work history (2)：
  • 2020/01 - 現在 Okinawa Institute of Science and Technology Graduate University Assistant Professor
  • 2016/08 - 2020/01 Worcester Polytechnic Institute Mathematics Postdoctoral Scholar
※ Researcher’s information displayed in J-GLOBAL is based on the information registered in researchmap. For details, see here.

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