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Masamune Jun  正宗 淳

ORCIDConnect your ORCID iD *help
Researcher Number 50706538
Other IDs
Affiliation (Current) 2025: 東北大学, 理学研究科, 教授
Affiliation (based on the past Project Information) *help 2022 – 2024: 東北大学, 理学研究科, 教授
2016 – 2021: 北海道大学, 理学研究院, 教授
2020: 東北大学, 理学研究科, 教授
2013 – 2015: 東北大学, 情報科学研究科, 准教授
Review Section/Research Field
Principal Investigator
Geometry / Transformative Research Areas, Section (II) / Basic Section 11020:Geometry-related / Mathematical Sciences in Search of New Cooperation
Except Principal Investigator
Transformative Research Areas, Section (II) / Basic Section 18030:Design engineering-related / Basic analysis
Keywords
Principal Investigator
均質化法 / シュレディンガー作用素 / ラプラシアン / 本質的自己共役性 / リュービル性 / 保存則 / モデリング / 形状最適化 / 波動関数 / トポロジー導関数 … More / シュレディンガー作用素の保存則 / 局所的性質 / リーマン多様体 / 自己共役 / ポテンシャル / 容量 / グラフ / 複合材料 / 時空間マルチスケール理論 / エネルギー収束 / マルチスケール静的強度解 析 / コンパクト性理論 / マルチスケール静的強度解析 / CFRP / コンパクト性理論 / グリーンの公式 / 保存性 / 単体的複体 / マルコフ過程 / 2パラメーターブラウン運動 / エバンス・ポテンシャル / トーション関数 / 調和関数 / ディリクレ形式 / 再帰性 / 国際研究者交流 イタリア,ドイツ / 離散シュレディンガー作用素 / マルコフ性 / 大域解析学 … More
Except Principal Investigator
偏微分方程式 / 最適設計 / 計算力学 / デジタルエンジニアリング / トポロジー最適化 / 応用解析学 / 形状最適化 / 形状設計 / 計算機支援設計 / 均質化法 / CAE / 山田方程式 / 設計生産統合型トポロジー最適化 / 法線ベクトル場の構成 / 幾何学的特徴 / 随伴変数法 / 生産性の定式化 / 製造性の定式化 / DfAM / 幾何力学 / 設計生産 / 積層造形 / 製造制約 / レベルセット法 / 仮想的な物理モデル / 設計工学 / 感度解析 / 幾何学的特徴量 / 非線形変分問題 / 熱核 / 距離空間 / レブナ-方程式 / 平均曲率流 / 正値解 / 自己相似集合 / 非線形 / 変分問題 / ネットワーク / リーマン多様体 / 調和 / 熱方程式 / 幾何学 / 確率論 / 函数論 / ポテンシャル解析 / グラフ / ラプラシアン / 負曲率多様体 / カントール集合 / 楕円型境界値問題 / エネルギー / 容量 / 完備リーマン多様体 / 大域的可積分性 / 容量的幅 / Dirichlet最小固有値 / 複雑領域 / 理想境界 / 非線形PDE / ポテンシャル Less
  • Research Projects

    (8 results)
  • Research Products

    (46 results)
  • Co-Researchers

    (20 People)
  •  数学に基づいた構造最適化における基礎理論の構築とボトムアップ型展開Principal Investigator

    • Principal Investigator
      正宗 淳
    • Project Period (FY)
      2023 – 2025
    • Research Category
      Grant-in-Aid for Transformative Research Areas (B)
    • Review Section
      Transformative Research Areas, Section (II)
    • Research Institution
      Tohoku University
  •  Modelings of Shape Design Based on the Mathematics

    • Principal Investigator
      山田 崇恭
    • Project Period (FY)
      2023 – 2025
    • Research Category
      Grant-in-Aid for Transformative Research Areas (B)
    • Review Section
      Transformative Research Areas, Section (II)
    • Research Institution
      The University of Tokyo
  •  Consistent method for optimal design and manufacturing based on the unified geometrical feature evaluation by the partial differential equation

    • Principal Investigator
      Yamada Takayuki
    • Project Period (FY)
      2019 – 2021
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Review Section
      Basic Section 18030:Design engineering-related
    • Research Institution
      The University of Tokyo
      Kyoto University
  •  Essential selfadjointness of the Laplacian of Riemannian manifolds and Lioville propertyPrincipal Investigator

    • Principal Investigator
      Masamune Jun
    • Project Period (FY)
      2018 – 2023
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Review Section
      Basic Section 11020:Geometry-related
    • Research Institution
      Tohoku University
      Hokkaido University
  •  Deepening of potential analysis on nonsmooth domains - Applications to PDE and ideal boundary

    • Principal Investigator
      Aiakwa Hiroaki
    • Project Period (FY)
      2017 – 2020
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      Basic analysis
    • Research Institution
      Chubu University
      Hokkaido University
  •  Stochastic homogenization for uncertainty quantification in multiscale analysisPrincipal Investigator

    • Principal Investigator
      Masamune Jun
    • Project Period (FY)
      2016 – 2018
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Mathematical Sciences in Search of New Cooperation
    • Research Institution
      Hokkaido University
  •  Global properties and the theory of convergences of diffusion processes of measure spacesPrincipal Investigator

    • Principal Investigator
      Masamune Jun
    • Project Period (FY)
      2014 – 2017
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Geometry
    • Research Institution
      Hokkaido University
      Tohoku University
  •  測度空間における拡散現象の大域解析Principal Investigator

    • Principal Investigator
      正宗 淳
    • Project Period (FY)
      2013 – 2014
    • Research Category
      Grant-in-Aid for Research Activity Start-up
    • Research Field
      Geometry
    • Research Institution
      Tohoku University

All 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 Other

All Journal Article Presentation

  • [Journal Article] Removable sets and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e22" altimg="si3.svg"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>-uniqueness on manifolds and metric measure spaces2023

    • Author(s)
      Hinz M.、Masamune J.、Suzuki K.
    • Journal Title

      Nonlinear Analysis

      Volume: 234 Pages: 113296-113296

    • DOI

      10.1016/j.na.2023.113296

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-18K03290
  • [Journal Article] Essential Self-Adjointness and the $L^2$-Liouville Property2021

    • Author(s)
      Hua Bobo、Masamune Jun、Wojciechowski Radoslaw K.
    • Journal Title

      Journal of Fourier Analysis and Applications

      Volume: 27 Issue: 2

    • DOI

      10.1007/s00041-021-09833-2

    • Peer Reviewed
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Journal Article] Intrinsic Ultracontractivity for Domains in Negatively Curved Manifolds2021

    • Author(s)
      Aikawa, H., van den Berg, M. & Masamune, J.
    • Journal Title

      Comput. Methods Funct. Theory

      Volume: 21 Issue: 4 Pages: 797-824

    • DOI

      10.1007/s40315-021-00402-8

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-21K03281, KAKENHI-PROJECT-17H01092, KAKENHI-PROJECT-16H03933, KAKENHI-PROJECT-17H01093
  • [Journal Article] 偏微分方程式による法線ベクトル場の構成2020

    • Author(s)
      長谷部 高広、黒田 紘敏、寺本 央、正宗 淳、山田 崇恭
    • Journal Title

      日本応用数理学会論文誌

      Volume: 30 Pages: 249-258

    • NAID

      130007907737

    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19H02049
  • [Journal Article] A generalized conservation property for the heat semigroup on weighted manifolds2019

    • Author(s)
      Masamune, J; Schmidt, M
    • Journal Title

      Mathematische Annalen

      Volume: 17 Issue: 3-4 Pages: 1-36

    • DOI

      10.1007/s00208-019-01888-3

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03290, KAKENHI-PROJECT-17H01092
  • [Journal Article] <i>H</i>-Compactness of Elliptic Operators on Weighted Riemannian Manifolds2019

    • Author(s)
      HOPPE Helmer、MASAMUNE Jun、NEUKAMM Stefan
    • Journal Title

      IIS

      Volume: 25 Issue: 2 Pages: 161-191

    • DOI

      10.4036/iis.2019.B.03

    • NAID

      130007772432

    • ISSN
      1340-9050, 1347-6157
    • Language
      English
    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Journal Article] Topology optimization with geometrical feature constraints based on the partial differential equation system for geometrical features (Overhang constraints considering geometrical singularities in additive manufacturing)2019

    • Author(s)
      YAMADA Takayuki、MASAMUNE Jun、TERAMOTO Hiroshi、HASEBE Takahiro、KURODA Hirotoshi
    • Journal Title

      Transactions of the JSME (in Japanese)

      Volume: 85 Issue: 877 Pages: 19-00129-19-00129

    • DOI

      10.1299/transjsme.19-00129

    • NAID

      130007711795

    • ISSN
      2187-9761
    • Language
      Japanese
    • Peer Reviewed / Open Access
    • Data Source
      KAKENHI-PROJECT-19K03484, KAKENHI-PROJECT-19H02049
  • [Journal Article] Endothelial monolayer permeability under controlled oxygen tension2017

    • Author(s)
      Funamoto, K; Yoshino, D; Matsubara, K; Zervantonakis, I; Funamoto, K; Nakayama, M; Masamune, J; Kimura, J; Roger, K
    • Journal Title

      Integrative Biology

      Volume: 6 Issue: 6 Pages: 529-538

    • DOI

      10.1039/c7ib00068e

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16KT0129, KAKENHI-PROJECT-16H02960, KAKENHI-PROJECT-26400062, KAKENHI-PROJECT-15K12500, KAKENHI-PROJECT-16K15112
  • [Journal Article] robabilistic characterizations of essential self-adjointness and removability of singularities2017

    • Author(s)
      Hinz, M; Kang, S; Masamune, J
    • Journal Title

      Science Journal of Volgograd State University. Mathematics.

      Volume: 3 Pages: 148-162

    • Peer Reviewed / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Journal Article] Global properties of Dirichlet forms in terms of Green's formula2017

    • Author(s)
      Haeseler, S; Lenz, D; Keller, M; Masamune, J; Schmidt, S.
    • Journal Title

      Calculus of Variations and PDEs

      Volume: 56 Issue: 5 Pages: 1-43

    • DOI

      10.1007/s00526-017-1216-7

    • Peer Reviewed / Open Access / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] Capacities and essential self adjointness of the Laplacian2023

    • Author(s)
      Jun Masamune
    • Organizer
      Geometry and Probability 2022
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03290
  • [Presentation] Capacities and essential self adjointness of the Laplacian2023

    • Author(s)
      正宗淳
    • Organizer
      Geometry and Probability
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03290
  • [Presentation] 非完備リーマン多様体のラプラシアンの自己共役拡張について2023

    • Author(s)
      正宗淳
    • Organizer
      東京確率論セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03290
  • [Presentation] L2 Liouville property and it's applications on Riemannian manifolds2022

    • Author(s)
      正宗淳
    • Organizer
      東北大学 応用数理解析セミナー
    • Data Source
      KAKENHI-PROJECT-18K03290
  • [Presentation] L2 Liouville property and it's applications on Riemannian manifolds2022

    • Author(s)
      正宗淳
    • Organizer
      応用解析研究会
    • Data Source
      KAKENHI-PROJECT-18K03290
  • [Presentation] L2 Liouville property and it's applications on Riemannian manifolds2022

    • Author(s)
      正宗淳
    • Organizer
      応用解析研究会
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03290
  • [Presentation] L2 Liouville property and it's applications on Riemannian manifolds2022

    • Author(s)
      正宗淳
    • Organizer
      東北大学応用数理解析セミナー
    • Invited
    • Data Source
      KAKENHI-PROJECT-18K03290
  • [Presentation] リュービル性と関連する話題2022

    • Author(s)
      正宗淳
    • Organizer
      北海道大学偏微分方程式セミナー
    • Data Source
      KAKENHI-PROJECT-18K03290
  • [Presentation] H-compactness of elliptic operators on weighted Riemannian Manifolds2019

    • Author(s)
      Jun Masamune
    • Organizer
      CUNY Geometric Analysis Seminar
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16KT0129
  • [Presentation] Generalized conservation property of Brownian motion with killing inside2018

    • Author(s)
      Jun Masamune
    • Organizer
      2018 SPRING PROBABILITY WORKSHOP
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-18K03290
  • [Presentation] H-convergence on Riemannian manifolds2017

    • Author(s)
      正宗淳
    • Organizer
      Probability Seminar
    • Place of Presentation
      関西大学(大阪府・吹田市)
    • Invited
    • Data Source
      KAKENHI-PROJECT-16KT0129
  • [Presentation] Generalized conservation property2017

    • Author(s)
      J. Masamune
    • Organizer
      Japanese-German Open Conference on Stochastic Analysis 2017 (Kaiserslautern, Germany)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] H-convergence on Riemannian manifolds2017

    • Author(s)
      Masamune, J
    • Organizer
      Kansai Probability seminaar
    • Invited
    • Data Source
      KAKENHI-PROJECT-16KT0129
  • [Presentation] H-convergence on Riemannian manifolds2017

    • Author(s)
      Masamune, J
    • Organizer
      Analysis and Geometry on Graphs and Manifolds
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] Generalized conservation property2017

    • Author(s)
      Masamune, J
    • Organizer
      Japanese-German Open Conference on Stochastic Analysis 2017
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] Existence of integrable non-trivial harmonic functions on complete manifolds2017

    • Author(s)
      Masamune, J
    • Organizer
      Mathematical Aspects of Quantum Fields and Related Topics
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] A conservation property of Brownian motion with killing of a Riemannian manifold2017

    • Author(s)
      Masamune, J
    • Organizer
      Analysis and PDEs on Manifolds
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] Existence of integrable harmonic functions on a complete Riemannian manifold2017

    • Author(s)
      Masamune, J
    • Organizer
      Kyushu Probability Seminar
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] H-convergence on Riemannian manifolds2017

    • Author(s)
      Masamune, J
    • Organizer
      Analysis and Geometry on Graphs and Manifolds
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-16KT0129
  • [Presentation] A conservation property of Brownian motion with killing of a Riemannian manifold2017

    • Author(s)
      J. Masamune
    • Organizer
      Analysis and PDEs on Manifolds (天津,中国)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-17H01092
  • [Presentation] Essential selfadjointness of the Laplacian and 2-parameter Brownian motion2016

    • Author(s)
      正宗淳
    • Organizer
      量子系の数理と物質制御への展開II:量子ウォークを架け橋に
    • Place of Presentation
      東北大学(宮城県・仙台市)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] On the Liouville property of harmonic functions2016

    • Author(s)
      Jun Masamune
    • Organizer
      FS Diskrete Spektralgeometrie
    • Place of Presentation
      Potsdam University Germany
    • Year and Date
      2016-03-12
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] Stochastic completeness at infinity of a Riemannian manifold2016

    • Author(s)
      正宗淳
    • Organizer
      月曜解析セミナー
    • Place of Presentation
      北海道大学(北海道・札幌市)
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] On the L1 Liouville property of a manifold with ends2016

    • Author(s)
      正宗淳
    • Organizer
      Geometry and Probability
    • Place of Presentation
      RIMS(京都府・左京区)
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] Constructions of non-trivial integrable harmonic functions on narrow or ample manifolds2016

    • Author(s)
      正宗淳
    • Organizer
      Math Colloquium
    • Place of Presentation
      北海道大学(北海道・札幌市)
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] ディリクレ形式の大域的性質2015

    • Author(s)
      正宗淳
    • Organizer
      応用解析研究会
    • Place of Presentation
      早稲田大学
    • Year and Date
      2015-06-20
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] Essential self-adjointness of the Hodge-Laplacian and p-negligible boundary2015

    • Author(s)
      Jun Masamune
    • Organizer
      Workshop at Kansai University
    • Place of Presentation
      関西大学
    • Year and Date
      2015-01-31
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] Variational convergence on Riemannian manifolds2015

    • Author(s)
      Jun Masamune
    • Organizer
      Stochastic Analysis and Applications
    • Place of Presentation
      Tohoku University Japan
    • Year and Date
      2015-08-31
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] A "permeability" defined through singular perturbations2015

    • Author(s)
      Jun Masamune
    • Organizer
      The mathematics of materials science: Ginzburg-Landau theory and related topics
    • Place of Presentation
      CAMP South Korea
    • Year and Date
      2015-08-15
    • Invited / Int'l Joint Research
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] On a long-term behavior of the jump process generated by a non-local operator2014

    • Author(s)
      Jun Masamune
    • Organizer
      Geometry seminar
    • Place of Presentation
      Nantes University, France
    • Year and Date
      2014-05-12
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] Distance and conservation property of jump processes2014

    • Author(s)
      Jun Masamune
    • Organizer
      談話会
    • Place of Presentation
      金沢大学
    • Year and Date
      2014-10-29
    • Invited
    • Data Source
      KAKENHI-PROJECT-26400062
  • [Presentation] A classification of the self adjoint extensions of graph Laplacians on an infinite graph

    • Author(s)
      正宗淳
    • Organizer
      International Joint Research Week on Non-Commutative Stochastic Systems: Analysis, Modelling, and Applications
    • Place of Presentation
      東北大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25887004
  • [Presentation] Uniqueness in Cauchy problem and stochastic completeness of jump diffusions

    • Author(s)
      正宗淳
    • Organizer
      偏微分方程式の解の幾何
    • Place of Presentation
      京都大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25887004
  • [Presentation] On long term properties of jump diffusions

    • Author(s)
      正宗淳
    • Organizer
      Tunisia-Japam symposium on Society, Science & Technology
    • Place of Presentation
      チュニス・テュニジア
    • Invited
    • Data Source
      KAKENHI-PROJECT-25887004
  • [Presentation] A volume growth criteria for the conservation property of a jump-process

    • Author(s)
      正宗淳
    • Organizer
      ローマ大学幾何学セミナー
    • Place of Presentation
      ローマ・イタリア
    • Invited
    • Data Source
      KAKENHI-PROJECT-25887004
  • [Presentation] The uniqueness in the Cauchy problem of non-local Dirichlet forms of a metric measure space.

    • Author(s)
      正宗淳
    • Organizer
      多様体上の微分方程式
    • Place of Presentation
      金沢大学
    • Invited
    • Data Source
      KAKENHI-PROJECT-25887004
  • 1.  Yamada Takayuki (30598222)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 1 results
  • 2.  Aiakwa Hiroaki (20137889)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 3.  寺田 賢二郎 (40282678)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 4.  平山 紀夫 (70582518)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 5.  志賀 啓成 (10154189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 6.  倉田 和浩 (10186489)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 7.  須川 敏幸 (30235858)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 8.  平田 賢太郎 (30399795)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 9.  鈴木 紀明 (50154563)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 10.  利根川 吉廣 (80296748)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  木上 淳 (90202035)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  加須栄 篤 (40152657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  堀田 一敬 (10725237)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  野瀬 敏洋 (90637993)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  黒田 紘敏 (80635657)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 16.  三木 隆生 (80806753)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 17.  寺本 央 (90463728)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 1 results
  • 18.  木谷 亮太 (90761619)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 19.  松島 慶 (60943537)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 20.  矢地 謙太郎 (90779373)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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