NAKAO Mitsuhiro 中尾愼宏

… Alternative Names

中尾愼宏ナカオミツヒロ

中尾順宏ナカオミツヒロ

中尾慎宏

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Researcher Number	10037278
Other IDs
Affiliation (based on the past Project Information) *help	2007: Kyushu University, 大学数理学研究院, 教授 2007: Kyushu University, Faculty of Mathematics, Professor 2006: 九州大学, 大学院数理学研究院, 教授 2000 – 2005: KYUSHU UNIVERSITY, Mathematics, Professor, 大学院・数理学研究院, 教授 1995 – 1999: 九州大学, 大学院・数理学研究科, 教授 … More 1998: 九州大学, 大学院数理学研究科, 教授 1996: Kyusyu University, Graduate School of Mathematics, Professor., 大学院・数理学研究所, 教授 1995: Kyushyu University, Graduate School of Math.Sci., Professor, 数理学研究科, 教授 1994: 九州大学, 大学院数理学研究科, 教授 1990 – 1993: 九州大学, 教養部, 教授 1989: 九州大学, 教養部, 助教授 1986: 九州大学, 教養部, 助教授 Less
Review Section/Research Field	Principal Investigator 解析学 / Basic analysis / Basic analysis Except Principal Investigator 解析学
Keywords	Principal Investigator Energy decay / Smoothing effect / エネルギー減衰 / 外部問題 / 非線形波動方程式 / Dissipation / Decay / Global Existence / Nonlinear Wave Equation / Nonlinear degenerate parabolic equations … More / Global attractors / Nonlinear wave equations / グローバル・アトラクラー / エネルギー評価 / 非線形方物形方程式 / 非線形熱方程式 / 平滑化効果 / 退化型非線形熱方程式 / グローバル・アトラクター / Global solutions / Exterior problem / Nonlinear wave eqations / 大域解 / 局在的摩擦項 / 周期解 / 波動方程式 / 局在非線形的摩擦項 / 時間大域解 / Exterior domain / Global existence / Nonlinear wave / energy / dissipation / evolution equation / stability / global solution / decay estimate / wave eguation / nonlinear / Hyperbolic Equation / Global Solution / L^p-estimate / Nomlinear Wave / Exterior Domain / Energy Decay / Nonliear Wave / Snuoothing Effect / Periodic solution / Nonlinear Wave Eguation / Asymptotic Stability / エルゴ-ド理論 / 指数理論 / 多様体の構造 / 固定点多様体 / 変換群 / 解の分岐 / 流体の方程式 / 非線型波動方程式 … More Except Principal Investigator 偏微分方程式 / 常微分方程式 / non-Newtonian / 大域解の存在 / partial differential equations / 散乱理論 / 弾性方程式 / フォンノイマン環 / 関数微分方程式 / velocity gradient / incompressible fluids / viscosity / nonlinear / global solution / unique salution / motion of fluids / 非圧縮性 / 非線形性 / 速度勾配 / 非圧縮流体 / 粘性 / 非線形 / 解の一意性 / 流体の運動方程式 / blow-up of solutions / existence of global solutions / Fourier integral operators / hyperbolic differential equations / parabolic differential equations / elliptic differential equations / ordinary differential equations / フーリェ積分作用素 / 解の爆発 / フーリエ積分作用素 / 双曲型微分方程式 / 放物型微分方程式 / 楕円型微分方程式 / nonlinear phenomenon / well posedness / elastic equation / inverse problems / wave of earthquake / scattering theory / 極 / 散乱核 / 波動方程式 / シュレ-ディンガー作用素 / 散乱 / 非線型現象 / 適切性 / 逆問題 / 地震波 / Abstract Differential Equations / Mathematical Physics / Partial Differential Equations / Functional Differential Equations / Neutral Type / Hypergeometric Functions / Linear Equations / Ordinary Differential Equations / 発展方程式 / 数理物理 / 変分問題 / 固有値問題 / 接続問題 / 抽象的微分方程式 / 数理物理学 / 中立型 / 超幾何関数 / リエナール方程式 / Hypoellipticity / Hyperbolic Equations / Spectrum / Scattering Theory / Elastic Equations / 回折 / 特異性の伝播 / 超局所解析 / エネルギ-の減衰 / 波動作用素 / 多体問題 / 双曲系方程式 / 準楕円性 / 双曲型方程式 / スペクトル / Navier-Stokes / 周期解 / 解の漸近挙動 / Imbedding Fheorems / Regularity / Degenerate / Nonlinear Parabolic / エルゴード理論 / 非可換ベルヌ-イシフト / Jones指数 / q-二項定理 / q-超幾何関数 / q-Selberg積分 / Macdonal多項式 / 擬凸 / 消滅定理 / コホモロジー / 部分因子環 / fusion rule / sector理論 / dual principalグラフ / principalグラフ / Jones指数理論 / weak solution / nonlinearity / classical sobution / unigueness / periodic sobution / wave eguation / Parabolic type / コホモロジ- / 複素リ-群 / 粗な部分群 / 有理型周期関数 / 定性的理論 / 非線形微分方程式 / 微分方程式 Less

Asymptotic behaivours of solutions for nonlinear wave equationsPrincipal Investigator
- Principal Investigator
  
  NAKAO Mitsuhiro
- Project Period (FY)
  2005 – 2007
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  Kyushu University
Exterior problem for nonlinear wave equationsPrincipal Investigator
- Principal Investigator
  
  NAKAO Mitsuhiro
- Project Period (FY)
  2001 – 2004
- Research Category
  
  Grant-in-Aid for Scientific Research (B)
- Research Field
  
  Basic analysis
- Research Institution
  KYUSHU UNIVERSITY
Stabilization problem for nonlinear wave eqPrincipal Investigator
- Principal Investigator
  
  NAKAO Mitsuhiro
- Project Period (FY)
  1998 – 2000
- Research Category
  
  Grant-in-Aid for Scientific Research (B).
- Research Field
  
  Basic analysis
- Research Institution
  KYUSHU UNIVERSITY
The Equations for the Motion of Viscous Incompressible Fluids
- Principal Investigator
  
  KATO Hisako
- Project Period (FY)
  1997 – 1998
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
非線形波動方程式とDissipation効果Principal Investigator
- Principal Investigator
  
  中尾愼宏
- Project Period (FY)
  1996
- Research Category
  
  Grant-in-Aid for Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
Jones指数のエルゴード理論への応用研究
- Principal Investigator
  
  濱地敏弘
- Project Period (FY)
  1995
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
Synthetic study on differential equations
- Principal Investigator
  
  AGEMI Rentaro
- Project Period (FY)
  1995 – 1996
- Research Category
  
  Grant-in-Aid for Scientific Research (A)
- Research Field
  
  解析学
- Research Institution
  HOKKAIDO UNIVERSITY
複素解析空間上の消滅定理
- Principal Investigator
  
  風間英明
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
q-Selberg積分の研究
- Principal Investigator
  
  金子譲一
- Project Period (FY)
  1994
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
Scattering theory of partial differential equations and its applications
- Principal Investigator
  
  IKAWA Mitsuru
- Project Period (FY)
  1994 – 1995
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Osaka University
非線型波動方程式と力学系の理論Principal Investigator
- Principal Investigator
  
  中尾愼宏
- Project Period (FY)
  1993
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
作用素環の指数理論的手法による研究
- Principal Investigator
  
  幸崎秀樹
- Project Period (FY)
  1992
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
NavierーStokes方程式の研究
- Principal Investigator
  
  加藤久子
- Project Period (FY)
  1991
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
Comprehensive Researches of Differential Equations
- Principal Investigator
  
  TANABE Hiroki
- Project Period (FY)
  1991 – 1992
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Osaka University
非線形微分方程式の定性的研究
- Principal Investigator
  
  KUSANO Takashi
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Hiroshima University
多次元複素ユ-クリッド空間の有理型周期関数の研究
- Principal Investigator
  
  風間英明
- Project Period (FY)
  1990
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
Co-operative research of partial differential equations and its applications
- Principal Investigator
  
  IKAWA Mitsuru
- Project Period (FY)
  1990 – 1991
- Research Category
  
  Grant-in-Aid for Co-operative Research (A)
- Research Field
  
  解析学
- Research Institution
  Osaka University
非線型発展方程式の解の漸近挙動Principal Investigator
- Principal Investigator
  
  中尾愼宏
- Project Period (FY)
  1989
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University
微分方程式の解析的並びに力学的研究
- Principal Investigator
  
  南部徳盛
- Project Period (FY)
  1986
- Research Category
  
  Grant-in-Aid for General Scientific Research (C)
- Research Field
  
  解析学
- Research Institution
  Kyushu University

All 2007 2006 2005 2004 2003 2002 2001

All Journal Article Presentation

[Journal Article] On global attractors for some quasi-linear wave equations with a strong dissipation2007
- Author(s)
  M.Nakao
- Journal Title
  
  Journal of Mathematical Analysis and Applications 331
  
  Pages: 793-809
- Data Source
  KAKENHI-PROJECT-17340040
[Journal Article] On global attractors for nonlinear parabolic equations of $m$ Laplacian type2007
- Author(s)
  Nakao M., Axis N.
- Journal Title
  
  J.Math.Anal.Appl. 331
  
  Pages: 793-809
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340040
[Journal Article] Energy decay and periodic solutions for the wave equation in exterior domains with a localized and a nonlinear boundary dissipations2007
- Author(s)
  Nakao M., Bae J
- Journal Title
  
  Nonlinear Analysis, TMA 66
  
  Pages: 301-323
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340040
[Journal Article] On global attractors for nonlinear parabolic equations of $m$ Laplacian type2007
- Author(s)
  Nakao, M., Aris, N
- Journal Title
  
  J. Math. Anal.Appl 331
  
  Pages: 793-809
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340040
[Journal Article] On global attractors for nonlinear parabolic equations of $m$ laplaciantype2007
- Author(s)
  Nakao M., Aris N
- Journal Title
  
  J. Math. Anal. Appl 331
  
  Pages: 793-809
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340040
[Journal Article] Energy decay for the wave equation in exterior domains with a localized and a nonlinear boundary dissipations2007
- Author(s)
  Nakao M., Bae J.
- Journal Title
  
  Nonlinear Analysis, TMA 66
  
  Pages: 301-323
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340040
[Journal Article] Energy decay and periodic solutions for the wave equation in exterior domains with a localized and a nonlinear boundary dissipations2007
- Author(s)
  Nakao, M., Bae, J
- Journal Title
  
  Nonlinear Analysis, TMA 66
  
  Pages: 301-323
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340040
[Journal Article] Local attractors for nonlinear wave equations with some dissipative terms2007
- Author(s)
  Nakao M.
- Journal Title
  
  Far EastJ.Math.Sci. 27
  
  Pages: 497-515
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340040
[Journal Article] Energy decay and periodic solutions for the wave equation with a localized and a nonlinear boundary dissipations2007
- Author(s)
  M.Nakao
- Journal Title
  
  Nonlinear Analysis,TMA 66
  
  Pages: 301-323
- Data Source
  KAKENHI-PROJECT-17340040
[Journal Article] Global attractors for nonlinear wave equations with some nonlinear dissipative terms2006
- Author(s)
  Nakao, M
- Journal Title
  
  J.Differential Equations 227
  
  Pages: 204-229
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340040
[Journal Article] Energy decay and periodic solution for the wave equation in an exterior domain with a half-linear and a nonlinear boundary dissipations2006
- Author(s)
  M.Nakao
- Journal Title
  
  Nonlinear Analysis, TMA (印刷中)
- Data Source
  KAKENHI-PROJECT-17340040
[Journal Article] Global attractors for nonlinear wave equations with nonlinear dissipative terms2006
- Author(s)
  M.Nakao
- Journal Title
  
  J.Differential Equations (印刷中)
- Data Source
  KAKENHI-PROJECT-17340040
[Journal Article] Global attractors for nonlinear wave equations with some nonlinear dissipations2006
- Author(s)
  M.Nakao
- Journal Title
  
  Journal of Differential Equations 227
  
  Pages: 204-229
- Data Source
  KAKENHI-PROJECT-17340040
[Journal Article] Global attractors for nonlinear wave equations with some nonlinear dissipative terms2006
- Author(s)
  Nakao M
- Journal Title
  
  J. Differential Equations 227
  
  Pages: 204-229
- Description
  「研究成果報告書概要(和文)」より
- Peer Reviewed
- Data Source
  KAKENHI-PROJECT-17340040
[Journal Article] Energy decay for the wave equation in exterior domains with a localized and a boundary dissipation.2005
- Author(s)
  J.J.Bae, M.Nakao
- Journal Title
  
  Nath.Nachr. 278
  
  Pages: 1-13
- Data Source
  KAKENHI-PROJECT-13440049
[Journal Article] Existence problem for the Kirchhoff type wave equation with a localized weakly nonlinear dissipation in exterior domains.2004
- Author(s)
  J.J.Bae, M.Nakao
- Journal Title
  
  Discrete Contin.Dyn.Syst. 11
  
  Pages: 731-743
- Data Source
  KAKENHI-PROJECT-13440049
[Journal Article] Global existence for the Kirchhoff type quasilinear wave equation in exterior domains with a halflinear dissipation.2004
- Author(s)
  M.Nakao
- Journal Title
  
  Kyushu J.Math. 58
  
  Pages: 373-391
- Data Source
  KAKENHI-PROJECT-13440049
[Journal Article] Global existence of the smooth solutions to the initial boundary value problem for the quasilinear wave equations in exterior domains.2003
- Author(s)
  M.Nakao
- Journal Title
  
  J.Math.Soc.Japan 35
  
  Pages: 765-795
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440049
[Journal Article] Global existence of the smooth solutions to the initial boundary value problem for the quasilinear wave equations in exterior domains2003
- Author(s)
  M.Nakao
- Journal Title
  
  J.Math.Soc.Japan 35
  
  Pages: 765-795
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440049
[Journal Article] Global and periodic solutions for the nonlinear wave equations with some nonlinear localized dissipations.2003
- Author(s)
  M.Nakao
- Journal Title
  
  J.Differential Equations 190
  
  Pages: 81-107
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440049
[Journal Article] Global and periodic solutions for the nonlinear wave equations with some nonlinear localized dissipations2003
- Author(s)
  M.Nakao
- Journal Title
  
  J.Differential Equations 190
  
  Pages: 81-107
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440049
[Journal Article] Existence of global solutions to the Cauchy problem for the Kirchoff type quasilinear wave equations with a weakly nonlinear dissipation.2002
- Author(s)
  M.Nakao
- Journal Title
  
  Funk.Ekvac. 45
  
  Pages: 387-395
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440049
[Journal Article] Existence of global solutions to the Cauchy problem for the Kirch-hoff type quasilinear wave equations with a weakly nonlinear dissipation2002
- Author(s)
  M.Nakao, J.J.Bae
- Journal Title
  
  Funk.Ekvac. 45
  
  Pages: 387-395
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440049
[Journal Article] Energy decay for the linear and semilinear wave equations in exterior domains with some localized dissipations.2001
- Author(s)
  M.Nakao
- Journal Title
  
  Math.Z. 238
  
  Pages: 781-797
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440049
[Journal Article] Energy decay for the linear and semilinear wave equations in exterior domains with some localized dissipations2001
- Author(s)
  M.Nakao
- Journal Title
  
  Math.Z. 238
  
  Pages: 781-797
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440049
[Journal Article] L^p estimates for the wave equation and global existence for the semilinear wave equations in exterior domains.2001
- Author(s)
  M.Nakao
- Journal Title
  
  Math.Ann. 320
  
  Pages: 11-31
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440049
[Journal Article] The contact problem in thermoviscoelastic materials.2001
- Author(s)
  M.Nakao
- Journal Title
  
  J.Math.Anal.Appl. 264
  
  Pages: 522-545
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-13440049
[Journal Article] The contact problem in thermoviscoelastic materials2001
- Author(s)
  M.Nakao, J.M.Rivera
- Journal Title
  
  J.Math.Anal.Appl. 264
  
  Pages: 522-545
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440049
[Journal Article] L^p$estimates for the wave equation and global existence for the semilinear wave equations in exterior domains2001
- Author(s)
  M.Nakao
- Journal Title
  
  Math.Ann. 320
  
  Pages: 11-31
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-13440049
[Presentation] Global attractors for nonlinear wave equations in exterior domains2006
- Author(s)
  Nakao M
- Organizer
  5 th Workshop on PDE
- Place of Presentation
  Rio de Janeiro
- Year and Date
  2006-09-13
- Description
  「研究成果報告書概要(和文)」より
- Data Source
  KAKENHI-PROJECT-17340040
[Presentation] Global attractors for nonlinear wave equations in exterior Domains2006
- Author(s)
  Nakao, M
- Organizer
  5-th Conference on PDE
- Place of Presentation
  Rio de Janeiro, Brasil
- Year and Date
  2006-09-13
- Description
  「研究成果報告書概要(欧文)」より
- Data Source
  KAKENHI-PROJECT-17340040

1. KATO Hisako (00038457)

# of Collaborated Projects: 9 results

# of Collaborated Products: 0 results
2. 濱地敏弘 (20037253)

# of Collaborated Projects: 7 results

# of Collaborated Products: 0 results
3. 風間英明 (10037252)

# of Collaborated Projects: 6 results

# of Collaborated Products: 0 results
4. 幸崎秀樹 (20186612)

# of Collaborated Projects: 5 results

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5. ICHINOSE Takashi (20024044)

# of Collaborated Projects: 4 results

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6. AGEMI Rentaro (10000845)

# of Collaborated Projects: 4 results

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7. 鎌田正良 (60038495)

# of Collaborated Projects: 3 results

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8. KATO Junji (80004290)

# of Collaborated Projects: 3 results

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9. 押川元重 (60038453)

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10. SHIBATA Yoshihiro (50114088)

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11. KAWASHIWA Shuichi (70144631)

# of Collaborated Projects: 3 results

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12. 佐藤栄一 (10112278)

# of Collaborated Projects: 2 results

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13. KUSANO Takashi (70033868)

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14. TANABE Hiroki (70028083)

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15. AIZAWA Sadakazu (20030760)

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16. 金子壌一 (10194911)

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17. 山口忠志 (80037225)

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18. IKAWA Mitsuru (80028191)

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19. ISHII Hitoshi (70102887)

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20. TAKANO Kyoichi (10011678)

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21. IWASAKI Nobuhisa (70027374)

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22. OGAWA Takayoshi (20224107)

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23. 内藤学 (00106791)

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24. 伊吹山知義 (60011722)

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25. 阪口紘治 (00037813)

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26. 小薗英雄 (00195728)

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27. 綿谷安男 (00175077)

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28. 中屋敷厚 (10237456)

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29. 杉田洋 (50192125)

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30. 南部徳盛 (60037231)

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31. 小野昭 (80038405)

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32. KURODA Sigetoshi (20011463)

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33. FUJIWARA Daisuke (10011561)

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34. MOCHIZUKI Kiyoshi (80026773)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
35. 西谷達雄 (80127117)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
36. YAJIMA Kenji (80011758)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
37. HYAKUTAKE Hiroto (70181120)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
38. ISHIKAWA Nobuhiro (10037806)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results
39. EI Shinichiro (30201362)

# of Collaborated Projects: 1 results

# of Collaborated Products: 0 results

NAKAO Mitsuhiro 中尾 愼宏

中尾 愼宏 ナカオ ミツヒロ

中尾 順宏 ナカオ ミツヒロ

中尾 慎宏

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Asymptotic behaivours of solutions for nonlinear wave equationsPrincipal Investigator

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Exterior problem for nonlinear wave equationsPrincipal Investigator

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Stabilization problem for nonlinear wave eqPrincipal Investigator

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非線形波動方程式とDissipation効果Principal Investigator

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非線型波動方程式と力学系の理論Principal Investigator

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NAKAO Mitsuhiro 中尾愼宏

中尾愼宏ナカオミツヒロ

中尾順宏ナカオミツヒロ

中尾慎宏