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YAMAHARA Hideo  山原 英男

ORCIDConnect your ORCID iD *help
Researcher Number 30103344
Affiliation (based on the past Project Information) *help 2007 – 2010: 大阪電気通信大学, 工学部, 准教授
1997 – 2006: 大阪電気通信大学, 工学部, 助教授
1991 – 1994: 大阪電気通信大学, 工学部, 助教授
Review Section/Research Field
Principal Investigator
解析学
Except Principal Investigator
解析学 / Basic analysis / Global analysis / Algebra / Basic analysis / Global analysis
Keywords
Principal Investigator
双曲型方程式 / 行列 / Gevreyクラス / 初期値問題
Except Principal Investigator
双曲系 / 漸近安定性 / 波面追跡法 / 保存則系 / conservation laws / フックス型偏微分方程式 … More / 確定特異点 / 特性指数 / 特性的初期値問題 / characteristic exponent / 周期解 / 偏微分方程式 / 衝撃波 / 保存則 / 気体力学 / ホモロジー予想 / Big Cohen-Macaulay加群 / パラメーター系 / Frobenius写像 / Artin近似定理 / Witt表現 / 初期値問題 / 相境界 / hyperbolic system / Initial value problem / asymptotic stability / phase boundary / フロベニウスの方法 / フックス型偏微分作用素 / Fuchsian partial differential equations / regular singularity / method of Frobenius / characteristic Cauchy problem / エントロピー条件 / Riemann問題 / entropy condition / フックス型変数 / リエナ-ル方程式系 / 非線形現象 / 保存 / エントロピー / Darcyの法則 / 多相流体 / 環論 / ネター局所環 / 有限生成加群 / 完備局所環の構造定理 / Tight closure / Tight Closure / 交叉予想 / 関数方程式 / ウェーブレット解析 / 解析信号 / ブラインド信号源分離 / 画像分離 / フレーム / 平行移動不変性 / ウェーブレット / 信号源分離 / モノジェニック信号 / フーリエ乗算作用素 / リース変換 / 信号の中心と幅 / 信号限分離 / 偏長楕円体波動関数 / ヒルベルト変換 / 信号の幅 / 不確定性原理 / リエナール方程式系 / 熱方程式 / 境界値問題 / 偏微分方程式系 / コーシー・コワレフスカヤの定理 / 一意可解性 / Lienard方程式系 / Gevrayクラス / 初期値問題の一意可解性 / Lienard system / periodic solutions / singular boundary value problem / heat operator / systems of partial differential equations / Cauchy-Kovalevskaya theorem / Gevrey-級関数 / 遅れ微分方程式 / wave-front tracking / Gevrey class / differential-difference equation / ワックス型偏微分作用素 / 臍点 / 不完全圧縮衝撃波 / 軌道接続問題 / Riemann problem / umbilic point / Volevicタイプシステム / 線形微分方程式 / 2種類の時間遅れ / 特性方程式 / パラメータの特性方程式への影響 / パラメータの特性根への影響 / Linear Differential Equations / Two Kinds of Time Lags / Asymptotic Stability / Characteristic Equations / Influence on Characteristic roots by Parameters / 0 / 退化した偏微分方程式 / 特異点 / 一意性 / コーシー問題 / 複素領域 / グルサ問題 / degenerate p.d.e. / Fuchsian p.d.e. / Fuchsian variable / singular point / uniqueness / Cauchy problem / complex domain / 過圧縮衝撃波 / 不足圧縮衝撃波 / 粘性衝撃波 / 粘性進行波 / 零解 / shock waves / gas dynamics / overcompressive shock wave / undercompressive shock wave / Viscous shock profile / ネータ局所環 / 単項予想 / 標数 / パラメータ系 / 完備局所環 / Noetherian local ring / big Cohen-Macaulay module / system of parameters / Homological Conjectures / monomial conjecture / Frobenius map / Witt expression / approximation theorem Less
  • Research Projects

    (14 results)
  • Co-Researchers

    (16 People)
  •  Degenerate Partial Differential Equations, Wavelet Transform, and their Applications

    • Principal Investigator
      MANDAI Takeshi
    • Project Period (FY)
      2008 – 2010
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka Electro-Communication University
  •  Study of Noetherian local rings in commutative algebra

    • Principal Investigator
      NISHIMURA Jun-ichi
    • Project Period (FY)
      2007 – 2009
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka Electro-Communication University
  •  Mathematical Analysis of Model Equations of Multi-Phase Flow Phenomena in Porous Media

    • Principal Investigator
      ASAKURA Fumioki
    • Project Period (FY)
      2005 – 2008
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka Electro-Communication University
  •  Study on Noetherian Local Rings in Commutative Algebra

    • Principal Investigator
      NISHIMURA Jun-ichi
    • Project Period (FY)
      2004 – 2006
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Algebra
    • Research Institution
      Osaka Electro-Communication University
  •  Structure of Solutions to partial differential equations degenerating on several hypersurfaces

    • Principal Investigator
      MANDAI Takeshi
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka-Electro-Conmunication University
  •  Existence and Stability of Non-classical Weak Solutions to Hyperbolic Conservation Laws

    • Principal Investigator
      ASAKURA Fumioki
    • Project Period (FY)
      2003 – 2004
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka-Electro Communication University
  •  Influence on Behavior of Solutions of Differential Equations by Two Kinds of Time Lags

    • Principal Investigator
      SAKATA Sadahisa
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka Electro-Communication University
  •  Structure of the Solutions to Partial Differential Equations Degenerating on the Initial Surface, and its Applications

    • Principal Investigator
      MANDAI Takeshi
    • Project Period (FY)
      2000 – 2002
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka Electro-Communication University
  •  Cauchy Problem for Hyperbolic System of Conservation Laws

    • Principal Investigator
      ASAKURA Fumioki
    • Project Period (FY)
      1999 – 2000
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Global analysis
    • Research Institution
      Osaka Electro-Communication University
  •  Structure of the Solutions to Partial Differential Equations Degenerating on the Initial Surface

    • Principal Investigator
      MANDAI Takeshi
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      Basic analysis
    • Research Institution
      Osaka Electro-Communication University
      Gifu University
  •  Cauchy Problem for Hyperbolic System of Conservation Laws

    • Principal Investigator
      ASAKURA Fumioki
    • Project Period (FY)
      1997 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka Electro-Communication University
  •  常微分方程式の解の漸近的性質の研究

    • Principal Investigator
      坂田 定久
    • Project Period (FY)
      1994
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka Electro-Communication University
  •  偏微分方程式系に対する初期値問題の研究Principal Investigator

    • Principal Investigator
      山原 英男
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka Electro-Communication University
  •  Stability for ordinary differential equations and its applications

    • Principal Investigator
      SAKATA Sadahisa
    • Project Period (FY)
      1991 – 1992
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Osaka Electro-communication University
  • 1.  SAKATA Sadahisa (60175362)
    # of Collaborated Projects: 14 results
    # of Collaborated Products: 0 results
  • 2.  ASAKURA Fumioki (20140238)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 3.  MANDAI Takeshi (10181843)
    # of Collaborated Projects: 8 results
    # of Collaborated Products: 0 results
  • 4.  IGARI Katsuju (90025487)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 5.  TAHARA Hidetoshi (60101028)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 6.  MIZOHATA Sigeru (20025216)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 7.  NISHIMURA Jun-ichi (00025488)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 8.  YASHIRO Yoshimatsu (10140229)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 9.  MIYAZAKI Mitsuhiro (90219767)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 10.  ASHINO Ryuichi (80249490)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 11.  MORIMOTO Akira (50239688)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 12.  SHIGA Kiyoshi (10022683)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 13.  浅川 秀一 (00211003)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 14.  室 政和 (70127934)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 15.  NAGABUCHI Yutaka (60252607)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 16.  HARA Tdayuki (20029565)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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