研究者
J-GLOBAL ID:202101014813741916   更新日: 2024年08月26日

周 暁丹

ジョウ シャオダン | Zhou Xiaodan
所属機関・部署:
職名: Assistant Professor
研究分野 (1件): 数理解析学
研究キーワード (1件): Analysis on metric spaces
競争的資金等の研究課題 (2件):
  • 2022 - 2025 Quasiconformal and Sobolev mappings on metric measure spaces
  • 2020 - 2023 Hamilton-Jacobi equations on metric measure spaces
論文 (16件):
  • 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. 2023. 8. 1. 121-138
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講演・口頭発表等 (27件):
  • 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
    (慶應非線形解析セミナー 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)
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学歴 (2件):
  • 2011 - 2016 University of Pittsburgh Department of Mathematics PhD
  • 2007 - 2011 北京師範大学
経歴 (2件):
  • 2020/01 - 現在 沖縄科学技術大学院大学
  • 2016/08 - 2020/01 Worcester Polytechnic Institute Mathematics Postdoctoral Scholar
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