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Kunikawa Keita  國川 慶太

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KUNIKAWA Keita  國川 慶太

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Researcher Number 10813165
Other IDs
Affiliation (Current) 2025: 徳島大学, 大学院社会産業理工学研究部(理工学域), 講師
Affiliation (based on the past Project Information) *help 2023 – 2024: 徳島大学, 大学院社会産業理工学研究部(理工学域), 講師
2020 – 2022: 宇都宮大学, 共同教育学部, 助教
2019: 東北大学, 材料科学高等研究所, 助教
Review Section/Research Field
Principal Investigator
Basic Section 11020:Geometry-related
Except Principal Investigator
Basic Section 12040:Applied mathematics and statistics-related
Keywords
Principal Investigator
リッチフロー / 熱方程式 / 優リッチフロー / 平均曲率流 / Liouville的性質 / ラグランジュ部分多様体 / 自己相似解 / 特異性・特異点 / 平均曲率流の単調量 / 幾何学的フロー … More / 調和写像流 / 熱核評価 / 古代解 / Liouville型定理 / エントロピー … More
Except Principal Investigator
離散幾何 / 曲率流 / 数理モデル / グラフ間距離 / グラフマッチング / 医用画像 / グラフ構造 / パーシステントホモロジー / 最適輸送 / 呼吸器疾患 / 平均曲率流 Less
  • Research Projects

    (3 results)
  • Research Products

    (27 results)
  • Co-Researchers

    (3 People)
  •  Geometric analysis on evolving Riemannian manifoldsPrincipal Investigator

    • Principal Investigator
      國川 慶太
    • Project Period (FY)
      2023 – 2027
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      The University of Tokushima
  •  Mathematical approaches for analysing and diagnosing respiratory diseases

    • Principal Investigator
      水藤 寛
    • Project Period (FY)
      2022 – 2024
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 12040:Applied mathematics and statistics-related
    • Research Institution
      Tohoku University
  •  Research on type II singularities of the mean curvature flowPrincipal Investigator

    • Principal Investigator
      KUNIKAWA Keita
    • Project Period (FY)
      2019 – 2022
    • Research Category
      Grant-in-Aid for Early-Career Scientists
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Utsunomiya University
      Tohoku University

All 2024 2023 2022 2021 2020 2019

All Journal Article Presentation

  • [Journal Article] Yau and Souplet-Zhang type gradient estimates on Riemannian manifolds with boundary under Dirichlet boundary condition2022

    • Author(s)
      Keita Kunikawa and Yohei Sakurai
    • Journal Title

      Proc. Amer. Math. Soc.

      Volume: 150(4) Issue: 4 Pages: 1767-1777

    • DOI

      10.1090/proc/15768

    • Peer Reviewed
    • Data Source
      KAKENHI-ORGANIZER-17H06460, KAKENHI-PROJECT-19K14521, KAKENHI-PROJECT-22H04942
  • [Journal Article] Liouville theorems for harmonic map heat flow along ancient super Ricci flow via reduced geometry2021

    • Author(s)
      Keita Kunikawa and Yohei Sakurai
    • Journal Title

      Calc. Var. Partial Differential Equations

      Volume: 60(5) Issue: 5

    • DOI

      10.1007/s00526-021-02079-2

    • Peer Reviewed
    • Data Source
      KAKENHI-ORGANIZER-17H06460, KAKENHI-PROJECT-19K14521, KAKENHI-PROJECT-21K20315
  • [Journal Article] Liouville theorem for heat equation along ancient super Ricci flow via reduced geometry2021

    • Author(s)
      Keita Kunikawa and Yohei Sakurai
    • Journal Title

      J. Geom. Anal.

      Volume: 31(12) Issue: 12 Pages: 11899-11930

    • DOI

      10.1007/s12220-021-00705-1

    • Peer Reviewed
    • Data Source
      KAKENHI-ORGANIZER-17H06460, KAKENHI-PROJECT-19K14521
  • [Journal Article] On Ecker’s local integral quantity at infinity for ancient mean curvature flows2020

    • Author(s)
      Kunikawa Keita
    • Journal Title

      Annals of Global Analysis and Geometry

      Volume: 58 Issue: 3 Pages: 253-266

    • DOI

      10.1007/s10455-020-09724-7

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] Index estimate for self-shrinkers in higher codimension2024

    • Author(s)
      國川慶太
    • Organizer
      MATRIX-RIMS Tandem Workshop: Evolutionary Partial Differential Equations and Applications
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03105
  • [Presentation] Index estimate for self-shrinkers in higher codimension2024

    • Author(s)
      國川慶太
    • Organizer
      The 4th International Conference on Surfaces, Analysis, and Numerics in Differential Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03105
  • [Presentation] Morse index and first Betti number for self-shrinkers in higher codimension2023

    • Author(s)
      國川慶太
    • Organizer
      部分多様体幾何とリー群作用2023
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03105
  • [Presentation] 余次元の高いself-shrinkerのベッチ数によるMorse index評価2023

    • Author(s)
      國川慶太
    • Organizer
      東北大学幾何セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-23K03105
  • [Presentation] Morse index estimate via first Betti number for self-shrinkers in higher codimension2023

    • Author(s)
      國川慶太
    • Organizer
      The 8th China-Japan Geometry Conference
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03105
  • [Presentation] Liouville type theorem for harmonic maps of controlled growth2023

    • Author(s)
      國川慶太
    • Organizer
      NCTS Seminar on Differential Geometry
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03105
  • [Presentation] Liouville type theorem for harmonic maps of controlled growth2023

    • Author(s)
      國川慶太
    • Organizer
      BIMSA-BIT Differential Geometry Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-23K03105
  • [Presentation] Super Ricci flowに沿ったBamler-Zhang型熱核評価2022

    • Author(s)
      國川慶太
    • Organizer
      若手による幾何学研究報告会
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] Super Ricci flowに沿ったBamler-Zhang型熱核評価2022

    • Author(s)
      國川慶太
    • Organizer
      金沢大学数理談話会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] 調和写像およびそのフローに関する増大度条件付きLiouville型定理2022

    • Author(s)
      國川慶太
    • Organizer
      確率論と幾何学2021
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] Super Ricci flowに沿った熱方程式の幾何解析2022

    • Author(s)
      國川慶太
    • Organizer
      2022年度福岡大学微分幾何学研究集会
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] Super Ricci flowに沿ったBamler-Zhang型熱核評価2022

    • Author(s)
      國川慶太
    • Organizer
      日本数学会2022年度秋季総合分科会
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] 調和写像に関する増大度条件付きLiouville型定理2022

    • Author(s)
      國川慶太
    • Organizer
      日本数学会2022年度年会(オンライン開催)
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] Super Ricci flowに沿ったBamler-Zhang型熱核評価2022

    • Author(s)
      國川慶太
    • Organizer
      部分多様体幾何とリー群作用2021
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] 調和写像に関する増大度条件付きLiouville型定理2021

    • Author(s)
      國川慶太
    • Organizer
      九州大学幾何セミナー
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] Ricci flowに沿った熱方程式のLiouville型定理2021

    • Author(s)
      國川慶太
    • Organizer
      リーマン幾何と幾何解析
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] リッチフローに沿った熱方程式のリウヴィル型定理2021

    • Author(s)
      國川慶太
    • Organizer
      部分多様体とリー群作用2020
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] Liouville theorem for heat equation along ancient Ricci flow2021

    • Author(s)
      國川慶太
    • Organizer
      International Workshop on Geometric Evolution Equations and Related Fields
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] Ricci flow, heat equation, Liouville type theorem2021

    • Author(s)
      國川慶太
    • Organizer
      Submanifolds of symmetric spaces and their time evolutions
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] On Ecker's integral at infinity on ancient mean curvature flows2019

    • Author(s)
      國川慶太
    • Organizer
      The 18th OCAMI-RIRCM Joint Differential Geometry Workshop on "Differential Geometry of Submanifolds in Symmetric Spaces and Related Problems"
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] On a Relation between Two Monotonicity Formulas for Mean Curvature Flow2019

    • Author(s)
      國川慶太
    • Organizer
      第2回台湾-日本微分幾何学国際研究集会
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] 平均曲率流の2つの単調性公式に関する考察2019

    • Author(s)
      國川慶太
    • Organizer
      広島幾何学研究集会2019
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14521
  • [Presentation] 平均曲率流の2つの単調性公式の関係2019

    • Author(s)
      國川慶太
    • Organizer
      部分多様体幾何とリー群作用2019
    • Invited
    • Data Source
      KAKENHI-PROJECT-19K14521
  • 1.  水藤 寛 (10302530)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 2.  冨永 循哉 (20375067)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 3.  宇田 智紀 (90812272)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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