SATO Tokushi 佐藤得志

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SATO TOKUSHI 佐藤得志

佐藤得志サトウトクシ

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Researcher Number	00261545
Affiliation (Current)	2025: 宮城教育大学, 教育学部, 准教授
Affiliation (based on the past Project Information) *help	2015: 東北大学, 理学研究科, 助教 2011: 東北大学, 理学研究科, 助教 2007: Tohoku University Graduate School, Institute of Scaence, Assistant Professor 2007: Tohoku University, Graduate School of Science, Assistant Professor 2005 – 2006: 東北大学, 理学部, 助手 … More 2000 – 2006: 東北大学, 大学院・理学研究科, 助手 2002: 東北大学, 助手 1995 – 1996: 東北大学, 大学院・理学研究科, 助手 1994: 東北大学, 理学部, 助手 Less
Review Section/Research Field	Principal Investigator 解析学 Except Principal Investigator Basic analysis / 解析学 / Global analysis / Basic analysis / General mathematics (including Probability theory/Statistical mathematics)
Keywords	Principal Investigator 線型化方程式 / 特異点の強度 / 弱い孤立特異点 / singular ground state / スカラー場方程式 Except Principal Investigator 非線形楕円型方程式 / 変分問題 / ミッシングターム / 退化楕円型方程式 / ハーディの不等式 … More / missing terms / Rellich inequality / P-harmonic / singular solution / degenerate elliptic equation / ハーディーの不等式 / 最小解 / P-調和作用素 / 特異解 / 自己相似解 / ハーディ不等式 / ソボレフ不等式 / 楕円型偏微分方程式 / ミッシング・ターム / CKN型不等式 / 安定性 / 変分法 / 反応拡散系 / 平均曲率 / 反応拡散方程式系 / 半線型楕円型方程式 / 退化型非線形偏微分方程式 / 不等式のミッシングターム / 超対数関数 / 不等式の精密化 / スーパー対数関数 / Hardyの不等式の精密化 / Hardy-Sobolevの不等式 / ミッシンク・ターム / p-ラプラシアン / 重み付きハーディの不等式 / 重み付きソボレフの不等式 / CKN 型不等式 / Super logarithm / 対称性の崩れ / ソボレフの不等式 / 強最大値原理 / 加藤の不等式 / p－ラプラシアン / 楕円型変分問題 / ＣＫＮ型不等式 / Chemotaxis system / Variationa method / Parabolic partial differential equaitons / Self-similar solutions / Nonlinear Problem / 変分的手法 / 非線形楕円型偏微分方程式 / 非線形放物型偏微分方程式 / 自己相似性 / 走化性方程式系 / 放物型偏微分方程式 / 非線形問題 / Hardy ineouality / linearization / weighted Sobolev ineauality / 最良定数 / p調和作用素 / バーディの不等式 / レリッヒ不等式 / 重み付きソボレフ不等式 / 線形化問題 / Hardy inequality / minimal solution / nonlinear elliptic equation / 非線型楕円型方程式 / P-調和方程式 / 退化楕円型方程式n / レリッヒの不等式 / 非線形楕円型作用素 / stability / steady state / eigenvalue analysis / pattern formation / bifurcation / skew-gradient systern / activator-inthibitor system / reaction-diffusion system / 興奮ー抑制系 / 解の爆発 / 興奮一抑制 / 定常解 / 固有値問題 / パターン形成 / 分岐 / 歪勾配系 / 興奮-抑制系 / バーディ不等式 / 退化楕円型 / 対称性の破れ / 退化楕円型問題 / 非線形変分問題 / 重み付きハーディ不等式 / 重み付きソボレ不等式 / 極小曲面 / 集中現象 / 活性因子-抑制因子系 / 特異摂動 / イノマン問題 / 得異摂動解 Less

Refinement of classical inequalities and its application to elliptic variational problems
- Principal Investigator
  
  Horiuchi Toshio
- Project Period (FY)
  2012 – 2015
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University
On the improvement of classical inequalities and its applications to nonlinear degenerate elliptic equations
- Principal Investigator
  
  HORIUCHI Toshio
- Project Period (FY)
  2008 – 2011
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University
On the linearization of quasilinear degenerate elliptic equations and the structure of singular solutions
- Principal Investigator
  
  HORIUCHI Toshio
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  Ibaraki University
Self-similar structure and singularity of solutions for nonlinear parabolic partial differential equations
- Principal Investigator
  
  NAITO Yuki
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Kobe University
On the structure of singular solutions for degenerate elliptic equations
- Principal Investigator
  
  HORIUCHI Toshio
- Project Period (FY)
  2002 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Basic analysis
- Research Institution
  IBARAKI UNIVERSITY
Pattern dynamics and asymptotic analysis in reaction-diffusion systems
- Principal Investigator
  
  YANAGIDA Eiji
- Project Period (FY)
  2000 – 2002
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  General mathematics (including Probability theory/Statistical mathematics)
- Research Institution
  Tohoku University
変分法とその反応拡散方程式系への応用
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
非線型楕円型境界値問題の解の大域的性質
- Principal Investigator
  
  高木泉
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
非線型楕円型方程式における特異解の研究Principal Investigator
- Principal Investigator
  
  佐藤得志
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for Encouragement of Young Scientists (A)
- Research Field
  
  解析学
- Research Institution
  Tohoku University
楕円型境界値問題と領域の幾何
- Principal Investigator
  
  TAKAGI Izumi
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Tohoku University

All 2007 2006 2005

All Journal Article

[Journal Article] Asymptotic non-degeneracy of the solution to the Liouville-GelYTand problem in two dimensions2007
- Author(s)
  T. Sato, T. Suzuki
- Journal Title
  
  Comment. Math. Helv 82
  
  Pages: 353-369
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540194
[Journal Article] Mathematical models of tumour angiogenesis2007
- Author(s)
  Akisato Kubo
- Journal Title
  
  J. Comput. Appl. Math. 204
  
  Pages: 48-55
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540194
[Journal Article] On the uniqueness of solutions with prescribed numbers of zeros for a two-point boundary value problem2007
- Author(s)
  Satoshi Tanaka
- Journal Title
  
  Differential Integral Equations 20.1
  
  Pages: 93-104
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540194
[Journal Article] On the uniqueness of solutions with prescribed numbers of zeros for a two-point boundary value problem2007
- Author(s)
  Satoshi Tanaka
- Journal Title
  
  Differential Integral Equations 20. 1
  
  Pages: 93-104
- Data Source
  KAKENHI-PROJECT-17540194
[Journal Article] Asymptotic non-degeneracy of the solution to the Liouville-Gelcprime fand problem in two dimensions.2007
- Author(s)
  Tomohiko Sato
- Journal Title
  
  Comment. Math. Helv. 82
  
  Pages: 353-369
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540194
[Journal Article] Positive solutions for semilinear elliptic equations with singular forcing terms2007
- Author(s)
  Y. Naito, T. Sato
- Journal Title
  
  J. Diff. Eq 235
  
  Pages: 439-483
- NAID
  120000943493
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540194
[Journal Article] Existence and asymptotic behavior of solutions of nonlinear neutral differential equations2006
- Author(s)
  Satoshi Tanaka
- Journal Title
  
  Math. Comput. Modelling 43. 5-6
  
  Pages: 536-562
- Data Source
  KAKENHI-PROJECT-17540194
[Journal Article] Upper bound of the best constant of a Trudinger-Moser inequality and its application to a Gagliardo-Nirenberg inequality2006
- Author(s)
  H. Kozono, T. Sato, H. Wadade
- Journal Title
  
  Indiana Univ. Math. J 55
  
  Pages: 1951-1974
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540194
[Journal Article] Existence and asymptotic behavior of solutions of nonlinear neutral differential equations2006
- Author(s)
  Satoshi Tanaka
- Journal Title
  
  Math. Comput. Modelling 43.5-6
  
  Pages: 536-562
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540194
[Journal Article] Forced oscillation of certain hyperbolic equations with continuous distributed deviating arguments2005
- Author(s)
  Satoshi Tanaka
- Journal Title
  
  Ann.Polon.Math. 85・1
  
  Pages: 37-54
- Data Source
  KAKENHI-PROJECT-17540194
[Journal Article] Structure of the solution set for a vector valued elliptic boundary value problem with a Lipschitz nonlinear term2005
- Author(s)
  Sato, Tokushi
- Journal Title
  
  Nonlinear Analysis 61
  
  Pages: 551-557
- Data Source
  KAKENHI-PROJECT-17540146
[Journal Article] Structure of the solution set for a vector valued elliptic boundary value problem with a Lipschitz nonlinear term2005
- Author(s)
  T. Sato, E. Yanagida
- Journal Title
  
  Nonlinear Anal 61
  
  Pages: 551-557
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17540194
[Journal Article] Structure of the solution set for a vector valued elliptic boundary value problem with a Lipschitz nonlinear term2005
- Author(s)
  Tokushi Sato
- Journal Title
  
  Nonlinear Anal. 61.4
  
  Pages: 551-557
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540194
[Journal Article] Forced oscillation of certain hyperbolic equations with continuous distributed deviating arguments2005
- Author(s)
  Satoshi Tanaka
- Journal Title
  
  Ann. Polon. Math. 85.1
  
  Pages: 37-54
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540194
[Journal Article] Convexity and uniqueness of the solution to the Liouville equation2005
- Author(s)
  Tomohiko Sato
- Journal Title
  
  Int. J. Pure Appl. Math. 23.1
  
  Pages: 1-21
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17540194
[Journal Article] Convexity and uniqueness of the solution to the Liouville equation2005
- Author(s)
  Tomohiko Sato
- Journal Title
  
  Int.J.Pure Appl.Math. 23.1
  
  Pages: 1-21
- Data Source
  KAKENHI-PROJECT-17540194

1. TAKAGI Izumi (40154744)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
2. HORIUCHI Toshio (80157057)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
3. ONISHI Kazuei (20078554)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
4. SHIMOMURA Katunori (00201559)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
5. NAKAI Eiichi (60259900)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
6. ANDO Hiroshi (60292471)

# of Collaborated Projects: 4 results

# of Collaborated Products: 0 results
7. 斎藤和之 (60004397)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. HOSHIRO Toshihiko (40211544)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. KUWAMURA Masataka (30270333)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. 堀畑和弘 (10229239)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. 増田久弥 (10090523)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. 島倉紀夫 (60025393)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
13. YAMAGAMI Shigeru (90175654)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. TACHIZAWA Kazuya (80227090)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. YANAGIDA Eiji (80174548)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. EI Shin-ichiro (30201362)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. NAITO Yuki (10231458)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
18. ISHI Katsuyuki (40232227)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. SUZUKI Takashi (40114516)

# of Collaborated Projects: 1 results

# of Collaborated Products: 1 results
20. TANAKA Satoshi (90331959)

# of Collaborated Projects: 1 results

# of Collaborated Products: 6 results
21. 中澤則之 (10227770)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. 板東重稔 (40165064)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
23. 猪狩惺 (50004289)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 藤家雪朗 (00238536)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. 加藤順二 (80004290)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. 稲葉寿 (80282531)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. 高橋勝雄 (90114529)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

SATO Tokushi 佐藤 得志

SATO TOKUSHI 佐藤 得志

佐藤 得志 サトウ トクシ

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非線型楕円型方程式における特異解の研究Principal Investigator

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[Journal Article] Asymptotic non-degeneracy of the solution to the Liouville-GelYTand problem in two dimensions2007

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[Journal Article] Mathematical models of tumour angiogenesis2007

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Description

Data Source

[Journal Article] On the uniqueness of solutions with prescribed numbers of zeros for a two-point boundary value problem2007

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[Journal Article] On the uniqueness of solutions with prescribed numbers of zeros for a two-point boundary value problem2007

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[Journal Article] Asymptotic non-degeneracy of the solution to the Liouville-Gelcprime fand problem in two dimensions.2007

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SATO Tokushi 佐藤得志

SATO TOKUSHI 佐藤得志

佐藤得志サトウトクシ