GOTO Syun'ichi 後藤俊一

… Alternative Names

GOTO Shunichi 後藤俊一

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Researcher Number	30225651
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Affiliation (Current)	2022: 北海道教育大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help	2009: 北海道教育大学, 教育学部, 准教授 2004 – 2005: 北海道教育大学, 教育学部, 助教授 1996 – 2003: 金沢大学, 理学部, 助教授 2001: 金沢大学, 理学部・計算科学科, 助教授 1994 – 1995: 九州大学, 大学院・数理学研究科, 講師 1994: 九州大学, 大学院数理学研究科, 講師 1991 – 1994: 九州大学, 工学部, 助手
Review Section/Research Field	Principal Investigator 解析学 / Global analysis Except Principal Investigator 解析学 / Basic analysis / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Global analysis
Keywords	Principal Investigator 粘性解 / 比較定理 / 界面ダイナミクス / 平均曲率流方程式 / 退化放物型方程式 / 広義解 / 非線形発展方程式 / 非線形偏微分方程式 / dynamic boundary condition / 平均曲率流 / 比較原理 … More Except Principal Investigator … More 数値解析 / 非線形偏微分方程式 / 自由境界問題 / 変分問題 / 衝撃波 / 安定性 / 粘性解 / 曲率流方程式 / 最小化法 / 平均曲率流方程式 / 特異点 / 外部定常問題 / 拡大波 / 比較定理 / Euler方程式 / 数理ファイナンス / Navier-Stokes方程式 / 初期値問題 / 漸近挙動 / 浸透媒質方程式 / Cauchy problem / Free boundary problem / Variational problem / Nonlinear partial differential equations / Numerical Analysis / Minimizing methods / 準線形双曲系の初期値問題 / 非線形幾何光学近似 / 準線形双曲系の解の漸近展開 / Poincareの写像定理 / Cousinの問題 / 代数曲線の特異点 / Riemann領域上の有理型関数 / Poincare-Picardの写像 / 乗法公式を持つ解析写像 / 確率微分方程式 / 確率力学系 / 超関数 / 確率偏微分方程式 / 曲面の発展方程式 / 等高面の方法 / 境界条件 / 2相流体 / 自由境界値問題 / 大域〓解 / 粘弾性 / 離散モデル / アトラクター / 熱対流 / 幾何学的発展 / 等高面方程式 / 消滅時刻 / クリスタライン・エネルギー / ストークス流 / 一次元気体モデル / 減衰率 / BMOアルゴリズム / Allen-Carn方程式 / 特異摂動 / Carn-Hilliard方程式 / モンテカルロ法 / 非線性楕円型境界値問題 / KdV方程式 / 楕円型方程式 / 並列数値シュミレーション / 境界値問題 / ブラックショールズ方程式 / 等高面法 / 濃淡関数 / 粘性解理論 / 画像処理 / 国際研究者交流 / アメリカ:フランス / 画像 / 輪郭線 / 平均曲率流 / 数値アルゴリズム / 鉄磁性モデル / Schroedinger写像 / 特異摂動問題 / 無限フラクタル格子 / integrated semigroup / 調和写像流 / 解の正則性条件 / Besov空間 / 対数型臨界Sobolev不等式 / 粘性消滅極限 / 複素Ginzburg-Landau方程式 / 半導体素子方程式 / 関数方程式 / ハミルトン・ヤコビ方程式 / 弱KAM理論 / 比較原理 / 最適制御 / 強最大値原理 / 双曲・楕円型方程式系 / 解の爆発 / 時間大域解 / 漸近安定性 / 希薄波 / リーマン問題 / 輻射気体 / 進行波解 / 拡散波 / hyperbolic-elliptic system / initial value problem / blow-up of solution / global solution / asymptotic stability / rarefaction wave / shock wave / Riemann problem / Cauchy問題 / Barenblatt解 / 〓透媒質方程式 / 弱微分 / コ-シ-問題 / porous media / elastostatics / 超伝導 / 液晶 / Superconductivity / Liquid crystals / 自由境界 / 非特性Cauchy問題 / 放物型方程式 / 平均曲率方程式 / H-凸条件 / 離散勾配流 / 超伝導現象 / 混合境界値問題 / ill-posed problem / Dirichlet問題 / parabolic equation / Dirichlet problem / mean curvature / fast diffusion / H-convexity / 密度依存的分岐過程 / 密度依存の遅れ / 周期的密度変動 / 確率的固体群動態 / 密度依存的分枝過程 / 確率的個体群動態 / 分枝過程 / 生態学的群集 / 個体群動態 / 数理生態学 / branching process / density-dependence / delay of density dependence / population dynamics / 特異点数値解析 / variational problem / nonlinear PDEs / singularity / numerical analysis / minimizing method / free boundary problem / ナビエ・ストークス方程式 / 自由表面 / 群対称性 / 渦糸 / 渦輪 / 特異積分 / パターン形成 / 対称性 / 水面波 / 漸近形 / パターン形式 / Navier-Stokes equations / Initial value problem / Free surface / Group-symmetry / Stability / Vortex filament / Vortex ring / Singular integral Less

RESEARCH ON THE THEORY OF VISCOSITY SOLUTIONS OF DIFFERENTIAL EQUATIONS AND ITS APPLICATIONS
- Principal Investigator
  
  ISHII Hitoshi
- Project Period (FY)
  2006 – 2009
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  Basic analysis
- Research Institution
  Waseda University
視覚と映像の幾何解析
- Principal Investigator
  
  儀我美一
- Project Period (FY)
  2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Hokkaido University
画像処理の数理における実解析的手法の探索
- Principal Investigator
  
  小川卓克
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Tohoku University
  Kyushu University
Mathematical analysis for nonlinear partial differential equations with singular solutions
- Principal Investigator
  
  OMATA Seiro
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
Study on the change of patterns of vortices and waves in fluid flow.
- Principal Investigator
  
  MIYAKAWA Tetsuro
- Project Period (FY)
  2003 – 2005
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Kanazawa University
Studies en general branching processes applied to the problems in population dynamics
- Principal Investigator
  
  FUJIMAGARI Tetsuo
- Project Period (FY)
  2002 – 2003
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  KANAZAWA UNIVERSITY
数理ファイナンスに現れる自由境界問題の数理解析
- Principal Investigator
  
  OMATA Seiro
- Project Period (FY)
  2001 – 2002
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
画像処理と微分方程式
- Principal Investigator
  
  儀我美一
- Project Period (FY)
  2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Hokkaido University
Research of Quasilinear Elliptic and Parabolic Differential Equations
- Principal Investigator
  
  HAYASIDA Kazuya
- Project Period (FY)
  2000 – 2001
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Fukui University of Technology
  Kanazawa University
幾何学的な構造と特異性をもつ非線形退化放物型方程式の広義解に対する近似理論の研究Principal Investigator
- Principal Investigator
  
  後藤俊一
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  Global analysis
- Research Institution
  Kanazawa University
非線形数値解析における粘性解の方法
- Principal Investigator
  
  小川卓克
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Exploratory Research
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyushu University
Mathematical Analysis of partial differential equations related to a variational problem via the discrete Morse Semiflows
- Principal Investigator
  
  OMATA Seiro
- Project Period (FY)
  1999 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Kanazawa University
Studies on the porous media equation
- Principal Investigator
  
  HAYASIDA Kazuya
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
Mathematical Analysis of free boundary problems related to a variational problem
- Principal Investigator
  
  OMATA Seiro
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
平均曲率流方程式に対する境界値問題と比較定理Principal Investigator
- Principal Investigator
  
  後藤俊一
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Kanazawa University
Study on the initial value problem for quasilinear hyperbolic-elliptic coupled systems
- Principal Investigator
  
  KAWASHIMA Shuichi
- Project Period (FY)
  1995 – 1997
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  解析学
- Research Institution
  KYUSHU UNIVERSITY
曲面の発展方程式の解析
- Principal Investigator
  
  儀我美一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Hokkaido University
非線形放物型・双曲型偏微分方程式の研究
- Principal Investigator
  
  宮川鉄朗
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
界面ダイナミクスにかかわる非線形発展方程式の広義解の研究Principal Investigator
- Principal Investigator
  
  後藤俊一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
曲面の発展方程式の解析
- Principal Investigator
  
  GIGA Yoshikazu
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Scientific Research on Priority Areas
- Research Institution
  Hokkaido University
悲線形放物型・双曲型偏微分方程式の研究
- Principal Investigator
  
  宮川鉄朗
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
界面ダイナミクスに関わる発展方程式の広義解の研究Principal Investigator
- Principal Investigator
  
  後藤俊一
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
2次元複素空間の解析写像の研究
- Principal Investigator
  
  西野利雄
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
確率微分方程式と超関数-両者の結合作用の研究
- Principal Investigator
  
  国田寛
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Kyushu University
準線形双曲型方程式系の初期値問題の解の存在の構成的証明の研究
- Principal Investigator
  
  YOSHIKAWA Atsushi
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University

All 2008 2007 2005

All Journal Article

[Journal Article] Uniqueness and Existenoe of Generalized Motion for Spiral Crystal Growth2008
- Author(s)
  Sh. Goto, M. Nakagawa, T. Ohtsuka
- Journal Title
  
  Indiana Univ. Math. J. 57(5)
  
  Pages: 2571-2599
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Uniqueness and existence for spiral crystal growth2007
- Author(s)
  S.Goto
- Journal Title
  
  微分方程式の粘性解理論とその発展, 数理解析研究所講究録 1545
  
  Pages: 136-139
- Data Source
  KAKENHI-PROJECT-18204009
[Journal Article] Convergence of the approximation scheme of the motion by mean curvature in the Bence-Merriman-Osher algorithm,2005
- Author(s)
  Y.Goto, K.Ishii, T.Ogawa
- Journal Title
  
  Comm.Pure Appl.Anal., 4
  
  Pages: 311-339
- Data Source
  KAKENHI-PROJECT-15654023
[Journal Article] Convergence of the approximation scheme of the motion by mean curvature in the Bence-Merriman-Osher algorithm2005
- Author(s)
  Y.Goto, K.Ishii, T.Ogawa
- Journal Title
  
  Comm.Pure Appl.Anal. (in press)
- Data Source
  KAKENHI-PROJECT-15654023

1. OMATA Seiro (20214223)

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2. KAWASHIMA Shuichi (70144631)

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3. MIYAKAWA Tetsuro (10033929)

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4. KUNITA Hiroshi (30022552)

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5. YOSHIKAWA Atsushi (80001866)

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6. GIGA Yoshikazu (70144110)

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7. ICHINOSE Takashi (20024044)

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8. KAGEI Yoshiyuki (80243913)

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9. HAYASIDA Kazuya (70023588)

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10. TAMURA Hiroshi (80188440)

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11. TANIGUCHI Setsuo (70155208)

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12. 陳薀剛 (50217262)

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13. KIMURA Masato (70263358)

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14. ISHII Katsuyuki (40232227)

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15. OGURISU Osamu (80301191)

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16. FUJIMOTO Hirotaka (60023595)

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17. 鈴木昌和 (20112302)

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18. 西野利雄 (30025259)

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19. 高橋秀慈 (30246657)

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20. 佐藤元彦 (30254139)

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21. 小川卓克 (20224107)

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23. 出口光一郎 (30107544)

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24. 児玉秋雄 (20111320)

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25. ISHII Hitoshi (70102887)

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26. KOBAYASI Kazuo (30139589)

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27. OTANI Mitsuharu (30119656)

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28. NAGI Hideo (70110848)

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29. KOIKE Shigeaki (90205295)

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30. MIKAMI Toshio (70229657)

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31. YAMADA Naoki (50030789)

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32. FUJITA Yasuhiro (10209067)

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33. OHNUMA Masaki (90304500)

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34. MEI Ming (70303253)

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35. ISHII Nobuhiko (20202939)

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36. FUJIMAGARI Tetsuo (60016102)

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37. TAKANOBU Satoshi (40197124)

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38. NAKAO Shintaro (90030783)

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39. JIMBO Shuichi (80201565)

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40. WEISS Georg (30282817)

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41. KIKUCHI Koji (50195202)

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42. FUKUMOTO Yasuhide (30192727)

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44. HISHIDA Toshiaki (60257243)

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54. 岩崎宏 (30242514)

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GOTO Syun'ichi 後藤 俊一

GOTO Shunichi 後藤 俊一

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GOTO Syun'ichi 後藤俊一

GOTO Shunichi 後藤俊一