ZHOU Xiaodan ＺＨＯＵＸｉａｏｄａｎ

Researcher Number	10871494
Other IDs
Affiliation (Current)	2022: 沖縄科学技術大学院大学, 距離空間上の解析ユニット, 准教授
Affiliation (based on the past Project Information) *help	2022: 沖縄科学技術大学院大学, 距離空間上の解析ユニット, 准教授 2020: 沖縄科学技術大学院大学, 距離空間上の解析ユニット, 准教授
Review Section/Research Field	Principal Investigator 0201:Algebra, geometry, analysis, applied mathematics,and related fields / Basic Section 12020:Mathematical analysis-related
Keywords	Principal Investigator eikonal equation / metric spaces / Hamilton-Jacobi equation / viscosity solution / HJ equations / well-posedness / metric measure spaces / Quasiconformal mapping / Sobolev mapping / Lusin property / Poincare inequality

Quasiconformal and Sobolev mappings on metric measure spacesPrincipal Investigator
- Principal Investigator
  
  ZHOU Xiaodan
- Project Period (FY)
  2022 – 2024
- Research Category
  
  Grant-in-Aid for Early-Career Scientists
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Okinawa Institute of Science and Technology Graduate University
Hamilton-Jacobi equations on metric measure spacesPrincipal Investigator
- Principal Investigator
  
  ZHOU Xiaodan
- Project Period (FY)
  2020 – 2021
- Research Category
  
  Grant-in-Aid for Research Activity Start-up
- Review Section
  
  0201:Algebra, geometry, analysis, applied mathematics,and related fields
- Research Institution
  Okinawa Institute of Science and Technology Graduate University

All 2021 2020

All Journal Article Presentation

[Journal Article] Horizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations2021
- Author(s)
  Liu Qing、Zhou Xiaodan
- Journal Title
  
  ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE
  
  Volume: XXII Pages: 30-30
- DOI
  10.2422/2036-2145.201907_001
- Data Source
  KAKENHI-PROJECT-20K22315
[Journal Article] Equivalence of solutions of eikonal equation in metric spaces2021
- Author(s)
  Qing Liu, Nageswari Shanmugalingam, Zhou Xiaodan
- Journal Title
  
  Journal of Differential Equations
  
  Volume: 272 Pages: 979-1014
- DOI
  10.1016/j.jde.2020.10.018
- Peer Reviewed / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-19K03574, KAKENHI-PROJECT-20K22315
[Presentation] Horizontal convex envelope in the Heisenberg group2020
- Author(s)
  Xiaodan Zhou
- Organizer
  Chinese Academy of Sciences seminar
- Invited
- Data Source
  KAKENHI-PROJECT-20K22315
[Presentation] Eikonal Equations on Metric Spaces2020
- Author(s)
  Xiaodan Zhou
- Organizer
  Partial Differential Equations under Various Metrics
- Invited / Int'l Joint Research
- Data Source
  KAKENHI-PROJECT-20K22315

1. 柳青

# of Collaborated Projects: 0 results

# of Collaborated Products: 1 results

ZHOU Xiaodan ＺＨＯＵＸｉａｏｄａｎ

Research Projects

Research Products

Co-Researchers

Quasiconformal and Sobolev mappings on metric measure spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Hamilton-Jacobi equations on metric measure spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Horizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Equivalence of solutions of eikonal equation in metric spaces2021

Author(s)

Journal Title

DOI

Data Source

[Presentation] Horizontal convex envelope in the Heisenberg group2020

Author(s)

Organizer

Data Source

[Presentation] Eikonal Equations on Metric Spaces2020

Author(s)

Organizer

Data Source

ZHOU Xiaodan ＺＨＯＵ Ｘｉａｏｄａｎ

Research Projects

Research Products

Co-Researchers

Quasiconformal and Sobolev mappings on metric measure spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Hamilton-Jacobi equations on metric measure spacesPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

[Journal Article] Horizontal convex envelope in the Heisenberg group and applications to sub-elliptic equations2021

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Equivalence of solutions of eikonal equation in metric spaces2021

Author(s)

Journal Title

DOI

Data Source

[Presentation] Horizontal convex envelope in the Heisenberg group2020

Author(s)

Organizer

Data Source

[Presentation] Eikonal Equations on Metric Spaces2020

Author(s)

Organizer

Data Source

ZHOU Xiaodan ＺＨＯＵＸｉａｏｄａｎ