SATO Tomohiko 佐藤友彦

… Alternative Names

佐藤友彦サトウトモヒコ

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Researcher Number	50397676
Other IDs
Affiliation (Current)	2025: 日本大学, 生産工学部, 教授
Affiliation (based on the past Project Information) *help	2019 – 2022: 日本大学, 生産工学部, 准教授 2012: 日本大学, 生産工学部, 助教 2010: 学習院大学, 理学部, 客員研究員 2008 – 2009: 学習院大学, 計算機センター, 助教
Review Section/Research Field	Except Principal Investigator Global analysis / Basic Section 12020:Mathematical analysis-related
Keywords	Except Principal Investigator 臨界ソボレフ指数 / 特異性 / 漸近的非退化性 / 自由境界問題 / 非平衡統計力学 / 大域解析学 / 非線形偏微分方程式 / 係数関数の影響 / Robin関数 / 非線形楕円型境界値問題 … More / 臨界型方程式 / 爆発解 / グリーン関数 / ハミルトニアン / 漸近解析 / 臨界Sobolev型方程式 / 多重爆発解 / 漸近的一意性 / 解の定性的性質 / 爆発解析 / 臨界型変分問題 / 量子化する爆発機構 / サブコラプスの生成 / コラプスの衝突 / 双対変分原理 / 循環的階層 / 質量量子化 / 腫瘍形成 / 粘弾性熱方程式 / タイプIIの爆発レート / 臨界指数 / 非線形スペクトル力学 / 自己組織化 / 変分構造 / 非線形現象 / Hadamard変分 / 圧縮性流体 / 粘弾性記憶形状合金 / 点渦乱流平均場方程式 / 解の爆発 / 量子化爆発機構 / Smoluchowski-Poisson方程式 / 退化放物型方程式 / Gel’fand 方程式 / 点渦乱流平均場 / Lotka-Volterra系 / 競合的走化性 / 記憶形状物質 / 熱弾性 / 走化性 / 点渦乱流 / 量子化 / 凝縮 / 爆発 / 双対変分構造 / スケーリング Less

Mathematical analysis for multi-component system of partial differential equations
- Principal Investigator
  
  Suzuki Takashi
- Project Period (FY)
  2019 – 2021
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Review Section
  
  Basic Section 12020:Mathematical analysis-related
- Research Institution
  Osaka University
Analysis for nonlinear critical phenomena described by mean field equations
- Principal Investigator
  
  SUZUKI Takashi
- Project Period (FY)
  2008 – 2012
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Global analysis
- Research Institution
  Osaka University
Studies on blow-up analysis of critical variational problems and qualitative properties of solutions caused by blow-up
- Principal Investigator
  
  TAKAHASHI Futoshi
- Project Period (FY)
  2008 – 2010
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  Global analysis
- Research Institution
  Osaka City University

All 2022 2013 2012 2011 2010 2009 2008

All Journal Article Presentation

[Journal Article] Morse indices of the solutions to the inhomogeneous elliptic equation with exponentially dominated nonlinearities2022
- Author(s)
  Sato Tomohiko、Suzuki Takashi
- Journal Title
  
  Annali di Matematica Pura ed Applicata (1923 -)
  
  Volume: 202 Issue: 2 Pages: 551-599
- DOI
  10.1007/s10231-022-01252-4
- Peer Reviewed / Open Access
- Data Source
  KAKENHI-PROJECT-19H01799
[Journal Article] Asymptotic non-degeneracy of multiple blowup solution to the Liouville-Gel’fand problem with non-constant coefficient2013
- Author(s)
  H. Ohtsuka, T. Sato, and T. Suzuki
- Journal Title
  
  J. Math. Anal. Appl.
  
  Volume: 398 Pages: 692-706
- NAID
  130005020744
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034
[Journal Article] Asymptotic non-degeneracy of multiple blowup solutions to the Liouville-Gel'fand problem with an inhomogeneous coefficient2013
- Author(s)
  Hiroshi Ohtsuka, Tomohiko Sato, Takashi Suzuki
- Journal Title
  
  Journal of Mathematical Analysis and
  
  Volume: 398, Issue 2 Issue: 2 Pages: 692-706
- DOI
  10.1016/j.jmaa.2012.09.028
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034, KAKENHI-PROJECT-22540231
[Journal Article] Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent2012
- Author(s)
  Yuki Naito and Tokushi Sato
- Journal Title
  
  Ann. Mat. Pura Appl. (4)
  
  Volume: 191 Issue: 1 Pages: 25-51
- DOI
  10.1007/s10231-010-0173-y
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034, KAKENHI-PROJECT-23540244, KAKENHI-PROJECT-24244012, KAKENHI-PROJECT-24540124
[Journal Article] Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent2011
- Author(s)
  Yuki Naito, Tokushi Sato
- Journal Title
  
  Ann.Mat.Pura.Appl.
  
  Volume: (印刷中)
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034
[Journal Article] Vanishing p-capacity of singular sets for p-harmonic functions2011
- Author(s)
  T.Sato, T.Suzuki, F.Takahashi
- Journal Title
  
  Electron J.Differential Equations 2011
  
  Volume: 67 Pages: 1-15
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034
[Journal Article] 電流双極子を自動決定する複数電流双極子推定手法2010
- Author(s)
  鈴木貴, 佐藤真, 足立善昭
- Journal Title
  
  日本生体磁気学会誌
  
  Volume: 23 Pages: 36-37
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20340034
[Journal Article] A nondegeneracy result for least energy solutions to a bihar monic problem with nearly critical exponent,2009
- Author(s)
  T.Sato, F.Takahashi
- Journal Title
  
  RIMS Kokyuroku Bessatsu 15
  
  Pages: 73-85
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540216
[Journal Article] A nondegeneracy result for least energy solutions to a biharmonic problem with nearly critical exponent2009
- Author(s)
  T. Sato, F. Takahashi
- Journal Title
  
  RIMS Kokyuroku Bessatsu {\bf 15}.Proceedings of ``Mathematical Analysis on the Self-organization and Self-similarity"
  
  Pages: 73-85
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540216
[Journal Article] Asymptotic uniqueness for a biharmonic equation with nearly critical growth on symmetric convex domains,2009
- Author(s)
  T.Sato, F.Takahashi
- Journal Title
  
  Funkcialaj Ekvac. 52
  
  Pages: 213-232
- NAID
  130000140520
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540216
[Journal Article] Asymptotic uniqueness for a biharmonic equation with nearly critical growth on symmetric convex domains2009
- Author(s)
  T. Sato, F. Takahashi
- Journal Title
  
  Funkcialaj Ekvac., {\bf 52} no.2
  
  Pages: 213-232
- NAID
  130000140520
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540216
[Journal Article] Asymptotic uniqueness of solutions for an elliptic problem with nearly critical growth on symmetric domains2008
- Author(s)
  T. Sato, F. Takahashi
- Journal Title
  
  Communications on Applied Nonlinear Anal. {\bf 15} no.3
  
  Pages: 1-18
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540216
[Journal Article] Asymptotic uniqueness of solutions for an elliptic problem with nearly critical growth on symmetric domains.2008
- Author(s)
  T. Sato F. Takahashi
- Journal Title
  
  Comm. on Applied Nonlinear Anal. 15
  
  Pages: 1-18
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-20540216
[Presentation] Asymptotic non-degeneracy of multiple blowup solutions to the Liouville-Gel'fand problem with a non-constant coefficient2012
- Author(s)
  佐藤友彦, 大塚浩史, 鈴木貴
- Organizer
  日本数学会2012年度年会函数方程式論分科会
- Place of Presentation
  東京理科大学神楽坂キャンパス(東京都)
- Year and Date
  2012-03-28
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] 関数係数を持つLiouville-Gel'fand問題に対する多点爆発解の漸近的非退化性2012
- Author(s)
  佐藤友彦, 大塚浩史, 鈴木貴
- Organizer
  第61回理論応用力学講演会
- Place of Presentation
  東京大学生産技術研究所(東京都)
- Year and Date
  2012-03-07
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] 臨界Sobolev 指数をもつ非済次半線形楕円型偏微分方程式2010
- Author(s)
  佐藤得志、内藤雄基
- Organizer
  日本数学会2010年度秋期総合分科会
- Place of Presentation
  名古屋大学
- Year and Date
  2010-09-24
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] 脳電流源数き自動決定する脳磁図分析手法2010
- Author(s)
  鈴木貴、佐藤真、足立善昭
- Organizer
  日本応用数理学会
- Place of Presentation
  明治大学駿河台キャンパス
- Year and Date
  2010-09-08
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] 電流双極子数を自動決定する複数電流双極子推定手法2010
- Author(s)
  鈴木貴、佐藤真、足立善昭
- Organizer
  日本生体磁気学会
- Place of Presentation
  東京大学柏キャンパス
- Year and Date
  2010-07-29
- Data Source
  KAKENHI-PROJECT-20340034
[Presentation] A nondegeneracy result for least energy solutions to a biharmonic problem with nearly critical exponent2009
- Author(s)
  佐藤友彦・高橋太
- Organizer
  2009年秋季総合分科会,函数方程式論分科会講演
- Place of Presentation
  大阪大
- Year and Date
  2009-09-25
- Data Source
  KAKENHI-PROJECT-20540216
[Presentation] A nondegeneracy result for least energy solutions to a biharmonic problem with nearly critical exponent2009
- Author(s)
  佐藤友彦・高橋太
- Organizer
  日本数学会年会函数方程式論分科会
- Place of Presentation
  大阪大学
- Year and Date
  2009-09-25
- Data Source
  KAKENHI-PROJECT-20540216

1. SUZUKI Takashi (40114516)

# of Collaborated Projects: 3 results

# of Collaborated Products: 9 results
2. MISAWA Masashi (40242672)

# of Collaborated Projects: 3 results

# of Collaborated Products: 0 results
3. TAKAHASHI Futoshi (10374901)

# of Collaborated Projects: 3 results

# of Collaborated Products: 9 results
4. NAITO Yuki (10231458)

# of Collaborated Projects: 2 results

# of Collaborated Products: 3 results
5. OHTSUKA Hiroshi (20342470)

# of Collaborated Projects: 2 results

# of Collaborated Products: 4 results
6. SUGIYAMA Yoshie (60308210)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
7. KOBAYASHI Takayuki (50272133)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
8. NAWA Hayato (90218066)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
9. WATANABE Kazuo (90260851)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
10. MATSUMURA Akitaka (60115938)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
11. YAGI Atsushi (70116119)

# of Collaborated Projects: 2 results

# of Collaborated Products: 0 results
12. 高橋亮 (30583249)

# of Collaborated Projects: 2 results

# of Collaborated Products: 1 results
13. ISHIWATA Michinori (30350458)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
14. YOSHIKAWA Shuji (80435461)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
15. KUROKIBA Masaki (60291837)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
16. FURIHATA Daisuke (80242014)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
17. KUWATA Kazuhiro (10186489)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
18. TANAKA Mieko (00459728)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
19. YAMADA Yoshio (20111825)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
20. SAITO Norikazu (00334706)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
21. NISHIO Masaharu (90228156)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
22. ATO Shin (10243354)

# of Collaborated Projects: 1 results

# of Collaborated Products: 6 results
23. 宮西吉久 (20740236)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
24. 太田家健佑 (30805859)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
25. TASAKI Sohei

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
26. RICCIARDI Tonia

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
27. STEVENS Angela

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
28. KAVALLARIS Nikos

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
29. PAWLOW Irena

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
30. CHAPLAIN Mark

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
31. QUARANTA Vito

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
32. CHAVANIS Pierre-henri

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

SATO Tomohiko 佐藤 友彦

佐藤 友彦 サトウ トモヒコ

Research Projects

Research Products

Co-Researchers

Mathematical analysis for multi-component system of partial differential equations

Principal Investigator

Project Period (FY)

Research Category

Review Section

Research Institution

Analysis for nonlinear critical phenomena described by mean field equations

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

Studies on blow-up analysis of critical variational problems and qualitative properties of solutions caused by blow-up

Principal Investigator

Project Period (FY)

Research Category

Research Field

Research Institution

[Journal Article] Morse indices of the solutions to the inhomogeneous elliptic equation with exponentially dominated nonlinearities2022

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Asymptotic non-degeneracy of multiple blowup solution to the Liouville-Gel’fand problem with non-constant coefficient2013

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Asymptotic non-degeneracy of multiple blowup solutions to the Liouville-Gel'fand problem with an inhomogeneous coefficient2013

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent2012

Author(s)

Journal Title

DOI

Data Source

[Journal Article] Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent2011

Author(s)

Journal Title

Data Source

[Journal Article] Vanishing p-capacity of singular sets for p-harmonic functions2011

Author(s)

Journal Title

Data Source

[Journal Article] 電流双極子を自動決定する複数電流双極子推定手法2010

Author(s)

Journal Title

Data Source

[Journal Article] A nondegeneracy result for least energy solutions to a bihar monic problem with nearly critical exponent,2009

Author(s)

Journal Title

Data Source

[Journal Article] A nondegeneracy result for least energy solutions to a biharmonic problem with nearly critical exponent2009

Author(s)

Journal Title

Data Source

[Journal Article] Asymptotic uniqueness for a biharmonic equation with nearly critical growth on symmetric convex domains,2009

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Asymptotic uniqueness for a biharmonic equation with nearly critical growth on symmetric convex domains2009

Author(s)

Journal Title

NAID

Data Source

[Journal Article] Asymptotic uniqueness of solutions for an elliptic problem with nearly critical growth on symmetric domains2008

Author(s)

Journal Title

Data Source

[Journal Article] Asymptotic uniqueness of solutions for an elliptic problem with nearly critical growth on symmetric domains.2008

Author(s)

Journal Title

SATO Tomohiko 佐藤友彦

佐藤友彦サトウトモヒコ