Updated on 2024/08/19

写真a

 
KOSUGI Takahiro
 
Organization
Faculty of Information Engineering Department of Information Management Associate Professor
Graduate School of Engineering Master's program Systems Management Engineering Associate Professor
Title
Associate Professor
External link

Research Interests

  • Nonlinear Partial Differential Equation

  • Viscosity Solution

  • Musculoskeletal System

Research Areas

  • Natural Science / Mathematical analysis

Education

  • Tohoku University   Graduate School of Science   Mathematical Institute

    2012.4 - 2017.03

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  • Tohoku University   Faculty of Science   Mathematical Institute

    2008.4 - 2012.03

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Research History

  • Fukuoka Institute of Technology   Department of Information Management   Associate Professor

    2024.4

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  • Tottori University of Environmental Studies   General Education Center   Assistant Professor

    2020.4 - 2024.3

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  • Fukuoka Institute of Technology   Faculty of Engineering   Postdoctoral fellow

    2018.4 - 2020.3

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  • Fukuoka Institute of Technology   Faculty of Engineering

    2018.4 - 2020.3

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  • Tohoku University   Mathematical Institute   JSPS Research Fellowship PD

    2017.4 - 2018.3

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Professional Memberships

  • The Robotics Society of Japan

    2019.1

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  • The Mathematical Society of Japan

    2016.10

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Papers

  • Rate of Convergence for Approximate Solutions in Obstacle Problems for Nonlinear Operators Invited Reviewed

    Shigeaki Koike, Takahiro Kosugi

    Springer Proceedings in Mathematics & Statistics   451   63 - 93   2024.7

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    Publishing type:Part of collection (book)   Publisher:Springer Nature Singapore  

    DOI: 10.1007/978-981-97-0364-7_3

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  • Existence of Global-in-Time Solutions to a System of Fully Nonlinear Parabolic Equations Reviewed

    Takahiro Kosugi, Ryuichi Sato

    Acta Applicandae Mathematicae   181(1), Article No. 14 (24 pp)   2022

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    Publishing type:Research paper (scientific journal)   Publisher:Springer Science and Business Media LLC  

    DOI: 10.1007/s10440-022-00533-7

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    Other Link: https://link.springer.com/article/10.1007/s10440-022-00533-7/fulltext.html

  • Equivalence of Viscosity Solutions between Obstacle and Gradient Constraint Problems Reviewed

    T. Kosugi

    Funkcialaj Ekvacioj   63 ( 3 )   323 - 343   2020

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    Publishing type:Research paper (scientific journal)   Publisher:Division of Functional Equations, The Mathematical Society of Japan (JST)  

    DOI: 10.1619/fesi.63.323

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  • Potential analysis on a 1-link-2-muscle musculoskeletal system with routing points Reviewed

    T. Kosugi, M. Goto, K. Tahara, H. Kino

    The 24th Robotics symposia   24th   252 - 258   2019

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    Authorship:Lead author   Language:Japanese   Publishing type:Research paper (conference, symposium, etc.)  

    J-GLOBAL

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  • Stability conditions of an ODE arising in human motion and its numerical simulation Reviewed

    T. Kosugi, H. Kino, M. Goto, Y. Matsutani

    Results in Applied Mathematics   3C, Paper No. 100063 (11 pp)   2019

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    Authorship:Lead author   Language:English   Publishing type:Research paper (scientific journal)  

    DOI: 10.1016/j.rinam.2019.100063

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  • On the rate of convergence of solutions in free boundary problems via penalization Reviewed

    S. Koike, T. Kosugi, M. Naito

    Journal of Mathematical Analysis and Applications   457 ( 1 )   436 - 460   2018.1

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:ACADEMIC PRESS INC ELSEVIER SCIENCE  

    The rate of convergence of approximate solutions via penalization for free boundary problems are concerned. A key observation is to obtain global bounds of penalized terms which give necessary estimates on integrations by the nonlinear adjoint method by L.C. Evans. (c) 2017 Elsevier Inc. All rights reserved.

    DOI: 10.1016/j.jmaa.2017.07.074

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  • Maximum principle for Pucci equations with sublinear growth in Du and its applications Reviewed

    S. Koike, T. Kosugi

    Nonlinear Analysis-Theory Methods & Applications   160   1 - 15   2017.9

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:PERGAMON-ELSEVIER SCIENCE LTD  

    It is obtained that there exist strong solutions of Pucci extremal equations with sublinear growth in Du and measurable ingredients. It is proved that a strong maximum principle holds in a local sense in Lemma 4.1 although even the (weak) maximum principle fails. By using this existence result, it is shown that the ABP type maximum principle and the weak Harnack inequality for viscosity solutions hold true. As an application, the Holder continuity for viscosity solutions of possibly singular, quasilinear equations is established. (C) 2017 Elsevier Ltd. All rights reserved.

    DOI: 10.1016/j.na.2017.03.018

    Web of Science

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  • Remarks on the comparison principle for quasilinear PDE with no zeroth order terms Reviewed

    S. Koike, T. Kosugi

    Communications on Pure and Aplied Analysis   14 ( 1 )   133 - 142   2015

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    Language:English   Publishing type:Research paper (scientific journal)   Publisher:AMER INST MATHEMATICAL SCIENCES-AIMS  

    A comparison principle for viscosity solutions of second-order quasilinear elliptic partial differential equations with no zeroth order terms is shown. A different transformation from that of Barles and Busca in [3] is adapted to enable us to deal with slightly more general equations.

    DOI: 10.3934/cpaa.2015.14.133

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MISC

  • 可変剛性調節機構をもつコンパスモデルの波形斜面における受動歩行の検証

    木野仁, 片山大尚, 植村充典, 小杉卓裕

    第20回計測自動制御学会システムインテグレーション部門講演会予稿集   200 - 202   2019

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    Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

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  • Fundamental analysis of the musculoskeletal potential method considering muscle viscoelastic properties

    H. Kino, Y. Kinjo, K. Tahara, M. Goto, T. Kosugi

    2P2-S08   2019

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    Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

    J-GLOBAL

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  • 筋屈曲点を有する筋骨格システムにおけるフィードフォワード位置決め制御

    木野 仁, 後藤 雅明, 小杉 卓裕, 田原 健二

    第36回日本ロボット学会学術講演会講演概要集   36th   1G3-01   2018

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    Language:Japanese   Publishing type:Research paper, summary (national, other academic conference)  

    J-GLOBAL

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  • 筋の粘性特性を考慮した筋骨格システムにおけるフィードフォワード位置決め制御の基礎的な解析

    木野 仁, 後藤 雅明, 小杉 卓裕, 金城 善博, 田原 健二

    第36回日本ロボット学会学術講演会講演概要集   3K1-03   2018

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  • 一階微分に関して劣線型増大度をもつ完全非線型楕円型方程式について

    小杉 卓裕

    第38回発展方程式若手セミナー報告集   105 - 114   2016

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (other)  

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  • 準線型方程式に対する粘性解について

    小杉 卓裕

    第37回発展方程式若手セミナー報告集   93 - 102   2015

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    Language:Japanese   Publishing type:Article, review, commentary, editorial, etc. (other)  

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Presentations

  • 非線形随伴法を用いた障害物問題の近似解の収束率 Invited

    小杉卓裕

    福工大土曜談話会  2024.7 

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    Event date: 2024.7

    Presentation type:Oral presentation (invited, special)  

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  • ある制約条件付き平均場ゲームで表される価格形成モデルの解の存在 Invited

    小杉卓裕

    九州関数方程式セミナー  2024.4 

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    Event date: 2024.4

    Presentation type:Oral presentation (invited, special)  

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  • ある制約条件付き平均場ゲームの解の存在 Invited

    小杉卓裕

    深江における非線形偏微分方程式研究集会  2024.3 

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    Event date: 2024.3

    Presentation type:Oral presentation (invited, special)  

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  • 平均場ゲームアプローチにより現れるある価格形成モデルの解の存在 Invited

    小杉卓裕

    第19回 非線型の諸問題  2023.8 

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    Event date: 2023.8 - 2023.9

    Presentation type:Oral presentation (invited, special)  

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  • ある価格形成モデルの平均場ゲームの解の存在 Invited

    小杉卓裕

    北里解析セミナー 2023  2023.7 

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    Event date: 2023.7

    Presentation type:Oral presentation (invited, special)  

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  • ある完全非線形方程式系の時間大域解の存在のための十分条件 Invited

    小杉卓裕

    神戸大学 解析セミナー  2022.6 

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    Event date: 2022.6

    Presentation type:Oral presentation (invited, special)  

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  • On existence of solutions to a system of fully nonlinear parabolic equations

    小杉卓裕, 佐藤龍一

    日本数学会2022年度年会  2022.3 

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    Event date: 2022.3

    Presentation type:Oral presentation (general)  

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  • 完全非線形藤田型方程式系の時間大域解の存在について

    小杉卓裕, 佐藤龍一

    第47回発展方程式研究会  2021.12 

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    Event date: 2021.12

    Presentation type:Oral presentation (general)  

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  • 退化/特異放物型方程式の障害物問題 に対する近似解の収束率 Invited

    小杉卓裕

    Saga Workshop on Partial Differential Equations  2021.3 

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    Event date: 2021.3

    Language:Japanese   Presentation type:Oral presentation (invited, special)  

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  • ある障害物問題の近似解の収束率及び勾配拘束問題との関連 Invited

    小杉 卓裕

    非線形発展方程式セミナー@KUE  2020.9 

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    Event date: 2020.9

    Language:Japanese  

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  • 完全非線形藤田型方程式系に対する藤田指数を求めたい Invited

    小杉 卓裕

    楕円型・放物型方程式の集いの会  2020.8 

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    Event date: 2020.8

    Language:Japanese  

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  • 完全非線形方程式に対する障害物問題と勾配拘束問題の同値性

    小杉 卓裕

    第45回発展方程式研究会  2019.12 

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    Event date: 2019.12

    Language:Japanese  

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  • 可変剛性調節機構をもつコンパスモデルの波形斜面における受動歩行の検証

    木野仁, 片山大尚, 植村充典, 小杉卓裕

    第20回計測自動制御学会システムインテグレーション部門講演会  2019.12 

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    Event date: 2019.12

    Presentation type:Poster presentation  

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  • 筋の粘弾性特性を考慮した筋骨格ポテンシャル法の基礎的な解析

    木野仁, 金城善博, 田原健二, 後藤雅明, 小杉卓裕

    ロボティクス・メカトロニクス講演会2019  2019.6 

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    Event date: 2019.6

    Presentation type:Poster presentation  

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  • Potential analysis on a 1-link-2-muscle musculoskeletal system with routing points

    T. Kosugi, M. Goto, K. Tahara, H. Kino

    24th Robotics Symposia  2019.3 

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    Language:Japanese   Presentation type:Oral presentation (general)  

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  • 筋屈曲点を有する筋骨格システムにおけるフィードフォワード位置決め制御

    木野 仁, 後藤 雅明, 小杉 卓裕, 田原 健二

    第36回日本ロボット学会学術講演会  2018.9 

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    Language:Japanese   Presentation type:Oral presentation (general)  

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  • 筋の粘性特性を考慮した筋骨格システムにおけるフィードフォワード位置決め制御の基礎的な解析

    木野 仁, 後藤 雅明, 小杉 卓裕, 金城 善博, 田原 健二

    第36回日本ロボット学会学術講演会  2018.9 

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    Language:Japanese   Presentation type:Poster presentation  

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  • 準線形方程式に対する粘性解と自由境界問題 Invited

    小杉 卓裕

    東北大学応用数理解析若手セミナー  2019.8 

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    Language:Japanese   Presentation type:Oral presentation (general)  

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  • 準線型方程式に対する粘性解について

    小杉 卓裕

    第37回発展方程式若手セミナー  2015.8 

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  • 屈曲点付き1リンク2筋システムの安定性

    小杉 卓裕

    一般社団法人日本ロボット学会 ヒューマンセントリックロボティクス研究専門委員会 第十一回若手研究会  2019.1 

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    Language:Japanese   Presentation type:Oral presentation (general)  

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  • 劣線形増大度の低階項をもつプッチ方程式に対する最大値原理

    小杉 卓裕

    東北大学 応用数学セミナー  2017.1 

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    Language:Japanese   Presentation type:Oral presentation (general)  

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  • 一階微分に関して劣線型増大度をもつ完全非線型楕円型方程式について

    小杉 卓裕

    第38回発展方程式若手セミナー  2016.8 

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  • ある非発散型方程式の自由境界問題に対する近似解の収束率 Invited

    小杉 卓裕

    神戸大学 解析セミナー  2019.2 

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  • ある自由境界問題に対する近似解の収束率について Invited

    小杉 卓裕

    広島数理解析セミナー  2018.7 

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  • ある準線形方程式の自由境界問題に対する近似解の収束率 Invited

    小杉 卓裕

    熊本大学応用解析セミナー  2018.7 

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  • ある制約付き平均場ゲームのPDEアプローチによる解の存在 Invited

    小杉 卓裕

    応用解析研究会  2023.7 

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  • ある2階の偏微分方程式に対する近似解の収束率について Invited

    小杉 卓裕

    九州関数方程式セミナー  2018.5 

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  • Remarks on the comparison principle for fully nonlinear equations with no zeroth terms Invited International conference

    Takahiro Kosugi

    Asymptotic Problems for Partial Differential Equations and Viscosity Solutions  2015.12 

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  • Rate of convergence of approximate solutions to obstacle problems for quasilinear operators Invited

    小杉 卓裕

    京都大学 NLPDEセミナー  2019.7 

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  • Rate of convergence of approximate solutions for obstacle problems Invited International conference

    Takahiro Kosugi

    Viscosity solution approach to asymptotic problems in front propagation, dynamical system and related topics  2017.7 

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  • Maximum principle for Pucci equations with sublinear gradient terms and its applications International conference

    Takahiro Kosugi

    5th Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's  2017.5 

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  • Fully nonlinear elliptic equations with sublinear growth in Du

    小池 茂昭, 小杉 卓裕

    日本数学会2016年度秋季総合分科会・函数方程式論分科会  2016.9 

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  • Existence of strong solutions of some fully nonlinear elliptic equations and its applications Invited

    小杉 卓裕

    若手のための偏微分方程式と数学解析  2017.2 

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  • 随伴法を用いた自由境界問題に対する近似解の収束率 Invited

    小杉 卓裕

    第158回神楽坂解析セミナー  2018.10 

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  • Existence of strong solutions of Pucci extremal equations with sublinear growth in Du International conference

    Takahiro Kosugi

    The 17th Northeastern Symposium on Mathematical Analysis  2016.2 

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  • Comparison principle for quasilinear elliptic equations International conference

    Takahiro Kosugi

    Joint Research Program on Nonlinear PDE's University of Firenze and Tohoku University  2014.3 

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  • Equivalence of viscosity solutions between obstacle problems and gradient constraint problems

    小杉 卓裕

    日本数学会2017年度秋季総合分科会・函数方程式論分科会  2017.9 

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  • Equivalence between viscosity solutions of an obstacle problem and a gradient constraint problem Invited International conference

    Takahiro Kosugi

    The 18th Northeastern Symposium on Mathematical Analysis  2017.2 

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  • Equivalence between obstacle problems and gradient constraint problems Invited

    小杉 卓裕

    第1回福島数理解析セミナー  2018.3 

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  • Comparison principle for viscosity solutions of singular parabolic equations Invited International conference

    Takahiro Kosugi

    Nonlinear PDE Workshop at Tohoku University  2015.9 

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  • Comparison principle for quasilinear elliptic equations without zeroth order term Invited

    小杉 卓裕

    偏微分方程式の最大値原理とその周辺  2016.3 

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  • Comparison principle for quasilinear elliptic equations International conference

    Takahiro Kosugi

    The 15th Northeastern Symposium on Mathematical Analysis  2014.2 

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  • A convergence result for infinity harmonic functions with obstacles International conference

    Takahiro Kosugi

    The 16th Northeastern Symposium on Mathematical Analysis  2015.2 

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  • Comparison principle for fully nonlinear equations involving the p-Laplace equation Invited International conference

    Takahiro Kosugi

    East Asian Core Doctorial Forum on Mathematics 2016  2016.1 

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Awards

  • 博士論文川井賞

    2017.3   公益財団法人川井数理科学財団  

    小杉 卓裕

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  • 修士論文川井奨励賞

    2014.3   公益財団法人川井数理科学財団  

    小杉 卓裕

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Research Projects

  • Theory of fully nonlinear PDEs and their free boundary problems, and its applications

    Grant number:22K13944  2022.4 - 2027.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Early-Career Scientists

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\4680000 ( Direct Cost: \3600000 、 Indirect Cost:\1080000 )

  • Regularity theory for viscosity solutions of fully nonlinear equations and its applications

    Grant number:20H01817  2020.4 - 2025.3

    Japan Society for the Promotion of Science  Grants-in-Aid for Scientific Research  Grant-in-Aid for Scientific Research (B)

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    Authorship:Coinvestigator(s)  Grant type:Competitive

    Grant amount:\17550000 ( Direct Cost: \13500000 、 Indirect Cost:\4050000 )

  • 準線形偏微分方程式とその自由境界問題に対する粘性解理論及びその応用

    Grant number:18K13436  2018.4 - 2022.3

    日本学術振興会  科学研究費助成事業  若手研究

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\4160000 ( Direct Cost: \3200000 、 Indirect Cost:\960000 )

  • 準線形偏微分方程式の理論とその応用

    Grant number:16J01494  2016.4 - 2018.3

    日本学術振興会  科学研究費助成事業  特別研究員奨励費

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    Authorship:Principal investigator  Grant type:Competitive

    Grant amount:\1940000 ( Direct Cost: \1700000 、 Indirect Cost:\240000 )

Teaching Experience

  • 環境学ゼミ1・演習/環境学ゼミ2・演習

    2021 Institution:公立鳥取環境大学

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  • 卒業研究

    2021 Institution:公立鳥取環境大学

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  • 線形代数学

    2020 Institution:公立鳥取環境大学

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  • プロジェクト研究1・3/プロジェクト研究2・4

    2020 Institution:公立鳥取環境大学

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  • 微分積分学

    2020 Institution:公立鳥取環境大学

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    Level:Undergraduate (liberal arts) 

    初等函数,微分,積分

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  • 情報リテラシ1

    2020 Institution:公立鳥取環境大学

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    Level:Undergraduate (liberal arts) 

    パソコンの基本操作,オフィスソフト,html

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  • 解析I及び演習

    2018 - 2019 Institution:福岡工業大学

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    Level:Undergraduate (liberal arts) 

    初等函数,微分,積分,級数,テイラー展開

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  • 確率と統計

    2018 - 2019 Institution:福岡工業大学

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    Level:Undergraduate (liberal arts) 

    確率分布,基本統計量,推定,検定

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  • 線形代数II

    2018 - 2019 Institution:福岡工業大学

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    Level:Undergraduate (liberal arts) 

    行列式,余因子展開,固有値,対角化

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  • 解析II

    2018 - 2019 Institution:福岡工業大学

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    Level:Undergraduate (liberal arts) 

    2変数函数,偏微分,極値問題

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  • 解析III

    2018 - 2019 Institution:福岡工業大学

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    Level:Undergraduate (liberal arts) 

    複素平面,複素関数,コーシー・リーマン方程式,コーシーの積分定理

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Social Activities

  • 筋骨格構造に着目した生物の運動制御と微分方程式

    Role(s): Lecturer

    公立鳥取環境大学  公開講座2022  2022.7

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    Type:Visiting lecture

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  • 平均値の定理とその周辺

    Role(s): Lecturer

    公立鳥取環境大学  模擬授業  2021.8

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    Type:Internet

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  • 微分方程式と数学 超入門的概論

    Role(s): Lecturer

    公立鳥取環境大学  公開講座 2021  2021.7

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    Type:Visiting lecture

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  • 特別進学コース進路講習会

    Role(s): Lecturer

    高岡第一高等学校  2018.9

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    Type:Visiting lecture

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Academic Activities

  • 深江における非線形偏微分方程式研究集会

    Role(s): Planning, management, etc.

    高坂良史.上田好寛,中川和重,小杉卓裕  2024.3

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    Type:Academic society, research group, etc. 

    File: fukae-nlpde.pdf

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  • 鳥取PDE研究集会 2023

    Role(s): Planning, management, etc.

    小池茂昭,小杉卓裕  2023.11

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    Type:Academic society, research group, etc. 

    File: 鳥取PDE2023プログラム.pdf

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  • 鳥取PDE研究集会 2022

    Role(s): Planning, management, etc.

    小池茂昭,小杉卓裕  2022.11

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    Type:Academic society, research group, etc. 

    File: 鳥取PDEプログラム.pdf

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  • 鳥取PDE研究集会2021

    Role(s): Planning, management, etc.

    小池茂昭,小杉卓裕  2021.11

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    File: 鳥取PDE2021プログラム.pdf

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  • 鳥取PDE研究集会

    Role(s): Planning, management, etc.

    小杉卓裕  2020.11

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    File: プログラム.pdf

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  • Viscosity Solutions and Related Topics

    Role(s): Planning, management, etc.

    K. Nakagawa, G. Akagi, T. Kosugi, S. Okabe  2018.11

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