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YOSHIKAWA Atsushi  吉川 敦

ORCIDConnect your ORCID iD *help
Researcher Number 80001866
Other IDs
Affiliation (based on the past Project Information) *help 2007: 九州大学, 大学院・数理学研究院, 名誉教授
2006: 九州大学, 大学院数理学研究院, 名誉教授
2005: 九州大学, 大学院数理学研究院, 教授
2000 – 2003: 九州大学, 大学院・数理学研究院, 教授
1994 – 1999: Kyushu U.Grad.Sch.Math., Prof., 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
1994: 九州大学, 大学院数理学研究科, 教授
1987 – 1994: Professor at Faculty of Engineering, Kyushu University, 工学部, 教授
1986: 九大, 工学部, 教授 Less
Review Section/Research Field
Principal Investigator
解析学 / Basic analysis
Except Principal Investigator
解析学 / General mathematics (including Probability theory/Statistical mathematics) / Basic analysis / Algebra / 科学教育(含教育工学) / General mathematics (including Probability theory/Statistical mathematics)
Keywords
Principal Investigator
Implicit function theorem in real interpolation spaces / Asymptotic expansion of weak solution / Nonlinear geometrical Optics / 一般化されたエントロピー条件 / ソボレフ空間値の擬微分作用素の交換子評価 / 双曲型保存系 / 弱解の漸南展開 / 実補間空間内の陰関数定理 / 実補間空間内の陰件数定理 / 弱解の漸近展開 … More / 非線型幾何光学近似 / Inverse Problems / Concentration Phenomena / Hyperplanes Arrangements / Hyperbolic Geometries / Cone Manifolds / Types and Proof Theory / Nonlinear evolution equations / Real Analytic Methods / レフシェッツ環 / 群作用 / 量子不変量 / 無限学の解析 / 代数解析学と表現論 / 実解析的手法 / 非線型発展方程式 / 反応拡散系 / モーメント写像 / 型・証明論 / 量子アフィン代数 / 型図子 / 迷問題 / 錐多様体 / 逆問題 / 集中現象 / 超平面配置 / 双曲幾何 / 錘多様体 / 型及び証明論 / 非線形発展方程式 / 実解析的方法 / Formal solution / Asymptotic weak solution / Mean-convolution product / Mean-value / Modulation equations / Quasi-linear hyperbolic systems / Asymptotic solutions / Geometric optics approximation / 等エントロピー流れ / バーガース方程式 / 概周期性 / モデュレーション方程式 / 相変数 / 漸近展開 / 平均合成績 / 準線形強双曲系 / 形式解 / 漸近弱解 / 平均合成積 / 平均値 / 変形方程式系 / 準線形双曲系 / 漸近解 / 幾何光学近似 / 常微分作用素の関数解析 / 特異摂動 / 初期層 / 漸近族 / 微文方程式の漸近解析 / 精度保証付数値計算法 / 補間空間論 / 数式処理 / 計算解析学 / Muirhead平均 / 定値形式 / 階段関数 / 実解析 / 数式処理ソフト / 不等式 / 補間関手 / 計算機解析学 / 準線形双曲系の解の漸近展開 / 非線形幾何光学近似 / 準線形双曲系の初期値問題 … More
Except Principal Investigator
衝撃波 / 漸近挙動 / 漸近安定性 / 安定性 / 数式処理 / 確率微分方程式 / 確率偏微分方程式 / asymptotic stability / hyperbolic-elliptic system / 拡散波 / 輻射気体 / 希薄波 / 時間大域解 / 初期値問題 / 双曲・楕円型方程式系 / CAI / 計算可能性構造 / 精度保証付き数値計算 / 計算機援用証明 / マリアヴァン解析 / 拡大波 / 外部定常問題 / 数式の計算 / 数学教育 / コンピュータ / 乗法公式を持つ解析写像 / 確率差分式 / 極限定理 / 確率力学系(Stochastic flow) / Stochastic partial differential equation / Perturbation methods / Martingale methods / Stochastic difference equations / Diffusion approximations / マリアバンカルキュラス / モンジュ=アンペル作用素 / 放物型偏微分方程式 / ランダムな係数をもつ放物型偏微分方程式 / 確率偏微分方程式ランダムな係数をもつ放物型偏微分方程式 / 攝動法 / マルチンゲール法 / 確率差分方程式 / 拡散近似 / Constructive logic / Linear operator / Domain theory / Limit computability / Uniform space / Piecewise continuous function / Effectivity / Computability structure / 排中律 / 連続体 / 型2マシン / 計算可能性 / Σ^0_1-排中律 / グレーコード / 関数空間 / 不連続関数 / 構成的理論 / 構成的論理 / 線形作用素 / ドメイン理論 / 極限計算可能性 / 一様位相空間 / 区分的不連続関数 / 実効性 / large deviation / trace formula / heat kernel / asymptotic theory / localization / quadratic phase function / Malliavin calculus / Stochastic oscillatory integral / 停留位相法 / 確率面積 / ヤコビ方程式 / 複素変数変換 / 非線形変換 / グリーン関数 / ブラウン運動 / レヴィ測度 / 確率振動積分 / 大偏差原理 / 跡公式 / 熱核 / 漸近理論 / 局所化 / 2次相関数 / 確立振動積分 / singular limit / nonlinear waves / asymptotic slability / global solutions / pointwise estimate / fundamental solution / hyperbolic-parabolic system / 双曲・楕円形方程式系 / 圧縮性ナビエ・ストークス方程式 / 定常波 / バーガース方程式 / 粘性的保存則方程式 / 特異極限 / 非線形波 / 各点評価 / 基本解 / 双曲・放物型方程式系 / oscillatory integral / stationary solution / decay order / intial value problem / Navier-Stokes equation / hydrodynamical equation / 分岐 / 膨張波 / 圧縮粘性流体 / 非圧縮粘性流体 / 減衰オーダー / 弱解 / ナビア=ストークス / 非線形方程式 / 漱近解析 / 振動積分 / 定常解 / 減衰度 / Navier-Stokes方程式 / 流体の方程式 / extension of representations / kertex operator algenbra / conformal-super algenbra / super conformal algenbra / affine super algebra / superconformal代数 / 表現のextension / 頂点作用素代数 / conformal-super代数 / super conformal代数 / アフィン・スーパー・リー環 / additive processes on p-adic number / random walk / stochasticanalysis on infinite dimension / Self-similar process / Stable process / Levy process on groups / ランダム半群 / ランダム媒質 / 自己相似過程 / P-進体上の加法過程 / ランダム・ウオ-ク / p-進体上の加法過程 / ランダム・ウォーク / 無限次元空間上の確率解析 / 自己相似性 / 安定過程 / 群上のレビー過程 / Riemann problem / shock wave / rarefaction wave / global solution / blow-up of solution / initial value problem / 進行波解 / リーマン問題 / 解の爆発 / Computer Algerbra / Softwares / Mathematics Education / CDI / ソフトウェア / 絶対不変曲線 / 代数的除外値曲線 / 乗法公式をもつ解析写像 / 計算機上での解析学 / 数値的検証法 / 数値数式融合計算 / 不等式制約 / 限定子除去法 / 最適化問題 / 多項式イデアル分解 / パラメトリックシステム / 不等式制約解法 / Groebner基底 / 代数制約解法 / 記号・代数計算 / 計算機支援解析学 / 数式処理と数値処理 / 解の数値的検証 / ループ群 / 複素構造 / 減衰率 / 一次元気体モデル / 熱対流 / アトラクター / 離散モデル / 粘弾性 / Poincare-Picardの写像 / Riemann領域上の有理型関数 / 代数曲線の特異点 / Cousinの問題 / Poincareの写像定理 / 複素多様体 / 多変数解析関数 / ポテンシャル / クライン群 / タイヒミュラー空間 / リーマン面 / 値分布論 / 等角写像 / 非線形フィルタ- / 確率微分程式 / ポアンカレ写像 / Stein多様体 / リ-マン面の解析的族 / 解析面の解析接続 / 爆発問題 / 正則拡散過程 Less
  • Research Projects

    (27 results)
  • Co-Researchers

    (52 People)
  •  数値処理と数式処理の融合による計算機援用解析学の可能性に関する基礎的研究

    • Principal Investigator
      中尾 充宏
    • Project Period (FY)
      2005 – 2007
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  記号・代数計算による最適化問題解法と定理自動証明の研究

    • Principal Investigator
      横山 和弘
    • Project Period (FY)
      2002 – 2003
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  計算機による解析学創設の可能性に関する基礎的研究

    • Principal Investigator
      中尾 充宏
    • Project Period (FY)
      2001 – 2003
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  Multilateral Researches on Computability Problems on the Continuum

    • Principal Investigator
      YASUGI Mariko
    • 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
      Kyoto Sangyo University
  •  Study on the fundamental solutions to the equations of radiating gases and its applications

    • Principal Investigator
      KAWASHIMA Shuichi
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KYUSHU UNIVERSITY
  •  A Study of asymptotic behaviors of stochastic oscillatory integrals

    • Principal Investigator
      TANIGUCHI Setsuo
    • Project Period (FY)
      1999 – 2001
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Basic analysis
    • Research Institution
      KYUSHU UNIVERSITY
  •  計算機環境での理論的解析学遂行のための基礎研究Principal Investigator

    • Principal Investigator
      吉川 敦
    • Project Period (FY)
      1998 – 1999
    • Research Category
      Grant-in-Aid for Exploratory Research
    • Research Field
      Basic analysis
    • Research Institution
      Kyushu University
  •  SEEKING FURTHER POSSIBILITIES OF MATHEMATICSPrincipal Investigator

    • Principal Investigator
      YOSHIKAWA Atsushi
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (A)
    • Research Field
      解析学
    • Research Institution
      KYUSHU UNIVERSITY
  •  Representation of superalgebras and their quantum groups

    • Principal Investigator
      WAKIMOTO Minoru
    • Project Period (FY)
      1996
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      Algebra
    • Research Institution
      KYUSHU UNIVERSITY
  •  Studies on behaviors of solutions to hydrodynamical equations

    • Principal Investigator
      TANIGUCHI Setsuo, 宮川 鉄朗
    • Project Period (FY)
      1996 – 1998
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      KYUSHU UNIVERSITY
  •  抽象ウィナー空間の複素部分多様体の研究

    • Principal Investigator
      谷口 説男
    • Project Period (FY)
      1995
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu 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
  •  STOCHASTIC DIFFERENTIAL EQUATIONS AND LIE ALGEBRAS,LIE GROUPS

    • Principal Investigator
      KUNITA Hiroshi
    • Project Period (FY)
      1995 – 1997
    • Research Category
      Grant-in-Aid for Scientific Research (B)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      KYUSHU 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
  •  悲線形放物型・双曲型偏微分方程式の研究

    • Principal Investigator
      MIYAKAWA Tetsuro
    • Project Period (FY)
      1993
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  Initial value problem of quasi-linear hyperbolic systems and global geometric optics approximationPrincipal Investigator

    • Principal Investigator
      YOSHIKAWA Atsushi
    • Project Period (FY)
      1993 – 1994
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      KYUSHU UNIVERSITY
  •  コンピュータと数学教育の係わりについての総合的研究

    • Principal Investigator
      TAKENOUCHI Osamu, 前田 文之
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      解析学
    • Research Institution
      Osaka International University
      Hiroshima 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
  •  An Integrated Study about the Interrelation between Computers and Mathematics Education

    • Principal Investigator
      TAKENOUCHI Osamu
    • Project Period (FY)
      1992 – 1994
    • Research Category
      Grant-in-Aid for Co-operative Research (A)
    • Research Field
      科学教育(含教育工学)
    • Research Institution
      Osaka International 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

    • Principal Investigator
      吉川 敦
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  確率微分方程式と非線形フィルタ-の研究

    • Principal Investigator
      国田 寛
    • Project Period (FY)
      1991
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  2次元Stein多様体上の解析関数の研究

    • Principal Investigator
      西野 利雄
    • Project Period (FY)
      1990
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  確率微分方程式と確率力学系の研究

    • Principal Investigator
      KUNITA Hiroshi
    • Project Period (FY)
      1989
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  •  2次元複素数空間における解析写像の研究

    • Principal Investigator
      西野 利雄
    • Project Period (FY)
      1988
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  Study of Asymptotic Analysis of Systems of Quasilinear Partial Differential EquationsPrincipal Investigator

    • Principal Investigator
      YOSHIKAWA Atsushi
    • Project Period (FY)
      1987 – 1989
    • Research Category
      Grant-in-Aid for General Scientific Research (B)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  微分方程式の漸近解析の研究Principal Investigator

    • Principal Investigator
      吉川 敦
    • Project Period (FY)
      1986
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      解析学
    • Research Institution
      Kyushu University
  •  Research of Stochastic Analysis

    • Principal Investigator
      WATANABE Hisao
    • Project Period (FY)
      1986 – 1987
    • Research Category
      Grant-in-Aid for General Scientific Research (C)
    • Research Field
      General mathematics (including Probability theory/Statistical mathematics)
    • Research Institution
      Kyushu University
  • 1.  KUNITA Hiroshi (30022552)
    # of Collaborated Projects: 17 results
    # of Collaborated Products: 0 results
  • 2.  TANIGUCHI Setsuo (70155208)
    # of Collaborated Projects: 13 results
    # of Collaborated Products: 0 results
  • 3.  KAWASHIMA Shuichi (70144631)
    # of Collaborated Projects: 13 results
    # of Collaborated Products: 0 results
  • 4.  NISHINO Toshio (30025259)
    # of Collaborated Projects: 10 results
    # of Collaborated Products: 0 results
  • 5.  MIYAKAWA Tetsuro (10033929)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 6.  SUZUKI Masakazu (20112302)
    # of Collaborated Projects: 9 results
    # of Collaborated Products: 0 results
  • 7.  WATANABE Hisao (40037677)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 8.  KAGEI Yoshiyuki (80243913)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 9.  後藤 俊一 (30225651)
    # of Collaborated Projects: 5 results
    # of Collaborated Products: 0 results
  • 10.  HAMANA Yuji (00243923)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 11.  中尾 充宏 (10136418)
    # of Collaborated Projects: 4 results
    # of Collaborated Products: 0 results
  • 12.  SUGITA Hiroshi (50192125)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 13.  木塚 崇 (70186279)
    # of Collaborated Projects: 3 results
    # of Collaborated Products: 0 results
  • 14.  TAKENOUCHI Osamu (20029375)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 15.  MORIMOTO Misuo (80053677)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 16.  TERADA Bunko (30063324)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 17.  HITOTSUMATSU Shin (10027378)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 18.  FUZITA Hiroshi (80011427)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 19.  YASUDA Kumi (40284484)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 20.  藤原 司 (30199385)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 21.  横山 和弘 (30333454)
    # of Collaborated Projects: 2 results
    # of Collaborated Products: 0 results
  • 22.  YAMAMOTO Masahiro (50182647)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 23.  TAKAGI Izumi (40154744)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 24.  OKA Mutsuo (40011697)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 25.  KOJIMA Sadayoshi (90117705)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 26.  MIWA Tetsuji (10027386)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 27.  WAKIMOTO Minoru (00028218)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 28.  YAMADA Mieko (70130226)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 29.  OGAWA Takayoshi (20224107)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 30.  KOBAYASHI Takayuki (50272133)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 31.  NISHIBATA Shinya (80279299)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 32.  MATSUMOTO Hiroyuki (00190538)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 33.  FUKAI Yasunari (00311837)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 34.  YASUGI Mariko (90022277)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 35.  HAYASHI Susumu (40156443)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 36.  MORI Takakazu (00065880)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 37.  TSUJII Yoshiki (90065871)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 38.  TSUIKI Hideki (10211377)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 39.  前田 文之 (10033804)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 40.  水田 義弘 (00093815)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 41.  大竹 博己 (70168970)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 42.  志賀 啓成 (10154189)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 43.  黒川 都史子 (80024446)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 44.  渡部 善隆 (90243972)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 45.  大島 利雄 (50011721)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 46.  野口 潤次郎 (20033920)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 47.  川久保 勝夫 (50028198)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 48.  黒川 信重 (70114866)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 49.  井口 達雄 (20294879)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 50.  鷲原 雅子 (40065800)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 51.  小田 秀典 (40224240)
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results
  • 52.  穴井 宏和
    # of Collaborated Projects: 1 results
    # of Collaborated Products: 0 results

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