Masamune Jun 正宗淳

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 / コンパクト性理論 / 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

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

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3. 寺田賢二郎 (40282678)

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4. 平山紀夫 (70582518)

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5. 志賀啓成 (10154189)

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6. 倉田和浩 (10186489)

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7. 須川敏幸 (30235858)

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8. 平田賢太郎 (30399795)

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9. 鈴木紀明 (50154563)

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10. 利根川吉廣 (80296748)

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11. 木上淳 (90202035)

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12. 加須栄篤 (40152657)

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13. 堀田一敬 (10725237)

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14. 野瀬敏洋 (90637993)

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15. 黒田紘敏 (80635657)

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16. 三木隆生 (80806753)

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17. 寺本央 (90463728)

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18. 木谷亮太 (90761619)

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19. 松島慶 (60943537)

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20. 矢地謙太郎 (90779373)

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Masamune Jun 正宗 淳

Research Projects

Research Products

Co-Researchers

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

Project Period (FY)

Research Category

Review Section

Research Institution

Modelings of Shape Design Based on the Mathematics

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Consistent method for optimal design and manufacturing based on the unified geometrical feature evaluation by the partial differential equation

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Essential selfadjointness of the Laplacian of Riemannian manifolds and Lioville propertyPrincipal Investigator

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Deepening of potential analysis on nonsmooth domains - Applications to PDE and ideal boundary

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Stochastic homogenization for uncertainty quantification in multiscale analysisPrincipal Investigator

Principal Investigator

Project Period (FY)

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Global properties and the theory of convergences of diffusion processes of measure spacesPrincipal Investigator

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測度空間における拡散現象の大域解析Principal Investigator

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[Journal Article] Essential Self-Adjointness and the $L^2$-Liouville Property2021

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[Journal Article] Intrinsic Ultracontractivity for Domains in Negatively Curved Manifolds2021

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[Journal Article] 偏微分方程式による法線ベクトル場の構成2020

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NAID

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[Journal Article] A generalized conservation property for the heat semigroup on weighted manifolds2019

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[Journal Article] <i>H</i>-Compactness of Elliptic Operators on Weighted Riemannian Manifolds2019

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Masamune Jun 正宗淳