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YOSHIKAWA Atsushi
吉川 敦
Connect your ORCID iD
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Researcher Number
80001866
Other IDs
Affiliation (based on the past Project Information)
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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
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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
General mathematics (including Probability theory/Statistical mathematics)
/
解析学
/
Basic analysis
/
General mathematics (including Probability theory/Statistical mathematics)
/
科学教育(含教育工学)
/
Algebra
Keywords
Principal Investigator
準線形双曲系の初期値問題 / 非線形幾何光学近似 / 準線形双曲系の解の漸近展開 / 計算機解析学 / 補間関手 / 不等式 / 数式処理ソフト / 実解析 / 階段関数 / 定値形式
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More
/ Muirhead平均 / 計算解析学 / 数式処理 / 補間空間論 / 精度保証付数値計算法 / 微文方程式の漸近解析 / 漸近族 / 初期層 / 特異摂動 / 常微分作用素の関数解析 / 幾何光学近似 / 漸近解 / 準線形双曲系 / 変形方程式系 / 平均値 / 平均合成積 / 漸近弱解 / 形式解 / 準線形強双曲系 / 平均合成績 / 漸近展開 / 相変数 / モデュレーション方程式 / 概周期性 / バーガース方程式 / 等エントロピー流れ / Geometric optics approximation / Asymptotic solutions / Quasi-linear hyperbolic systems / Modulation equations / Mean-value / Mean-convolution product / Asymptotic weak solution / Formal solution / 実解析的方法 / 非線形発展方程式 / 型及び証明論 / 錘多様体 / 双曲幾何 / 超平面配置 / 集中現象 / 逆問題 / 錐多様体 / 迷問題 / 型図子 / 量子アフィン代数 / 型・証明論 / モーメント写像 / 反応拡散系 / 非線型発展方程式 / 実解析的手法 / 代数解析学と表現論 / 無限学の解析 / 量子不変量 / 群作用 / レフシェッツ環 / Real Analytic Methods / Nonlinear evolution equations / Types and Proof Theory / Cone Manifolds / Hyperbolic Geometries / Hyperplanes Arrangements / Concentration Phenomena / Inverse Problems / 非線型幾何光学近似 / 弱解の漸近展開 / 実補間空間内の陰件数定理 / 実補間空間内の陰関数定理 / 弱解の漸南展開 / 双曲型保存系 / ソボレフ空間値の擬微分作用素の交換子評価 / 一般化されたエントロピー条件 / Nonlinear geometrical Optics / Asymptotic expansion of weak solution / Implicit function theorem in real interpolation spaces
…
More
Except Principal Investigator
衝撃波 / 確率微分方程式 / 数式処理 / 安定性 / 漸近安定性 / 漸近挙動 / 確率力学系(Stochastic flow) / 極限定理 / 確率差分式 / 乗法公式を持つ解析写像 / コンピュータ / 数学教育 / 数式の計算 / 外部定常問題 / 拡大波 / マリアヴァン解析 / 計算機援用証明 / 精度保証付き数値計算 / 計算可能性構造 / CAI / 双曲・楕円型方程式系 / 初期値問題 / 時間大域解 / 希薄波 / 輻射気体 / 拡散波 / hyperbolic-elliptic system / asymptotic stability / 確率偏微分方程式 / 正則拡散過程 / 爆発問題 / 解析面の解析接続 / リ-マン面の解析的族 / Stein多様体 / ポアンカレ写像 / 確率微分程式 / 非線形フィルタ- / 等角写像 / 値分布論 / リーマン面 / タイヒミュラー空間 / クライン群 / ポテンシャル / 多変数解析関数 / 複素多様体 / Poincareの写像定理 / Cousinの問題 / 代数曲線の特異点 / Riemann領域上の有理型関数 / Poincare-Picardの写像 / 粘弾性 / 離散モデル / アトラクター / 熱対流 / 一次元気体モデル / 減衰率 / 複素構造 / ループ群 / 解の数値的検証 / 数式処理と数値処理 / 計算機支援解析学 / 記号・代数計算 / 代数制約解法 / Groebner基底 / 不等式制約解法 / パラメトリックシステム / 多項式イデアル分解 / 最適化問題 / 限定子除去法 / 不等式制約 / 数値数式融合計算 / 数値的検証法 / 計算機上での解析学 / 乗法公式をもつ解析写像 / 代数的除外値曲線 / 絶対不変曲線 / ソフトウェア / CDI / Mathematics Education / Softwares / Computer Algerbra / 解の爆発 / リーマン問題 / 進行波解 / initial value problem / blow-up of solution / global solution / rarefaction wave / shock wave / Riemann problem / 群上のレビー過程 / 安定過程 / 自己相似性 / 無限次元空間上の確率解析 / ランダム・ウォーク / 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 / 自己相似過程 / ランダム媒質 / ランダム半群 / Levy process on groups / Stable process / Self-similar process / stochasticanalysis on infinite dimension / random walk / additive processes on p-adic number / アフィン・スーパー・リー環 / super conformal代数 / conformal-super代数 / 頂点作用素代数 / 表現のextension / superconformal代数 / affine super algebra / super conformal algenbra / conformal-super algenbra / kertex operator algenbra / extension of representations / 流体の方程式 / Navier-Stokes方程式 / 減衰度 / 定常解 / 振動積分 / 漱近解析 / 非線形方程式 / ナビア=ストークス / 弱解 / 減衰オーダー / 非圧縮粘性流体 / 圧縮粘性流体 / 膨張波 / 分岐 / hydrodynamical equation / Navier-Stokes equation / intial value problem / decay order / stationary solution / oscillatory integral / 双曲・放物型方程式系 / 基本解 / 各点評価 / 非線形波 / 特異極限 / 粘性的保存則方程式 / バーガース方程式 / 定常波 / 圧縮性ナビエ・ストークス方程式 / 双曲・楕円形方程式系 / hyperbolic-parabolic system / fundamental solution / pointwise estimate / global solutions / asymptotic slability / nonlinear waves / singular limit / 確立振動積分 / 2次相関数 / 局所化 / 漸近理論 / 熱核 / 跡公式 / 大偏差原理 / 確率振動積分 / レヴィ測度 / ブラウン運動 / グリーン関数 / 非線形変換 / 複素変数変換 / ヤコビ方程式 / 確率面積 / 停留位相法 / Stochastic oscillatory integral / Malliavin calculus / quadratic phase function / localization / asymptotic theory / heat kernel / trace formula / large deviation / 実効性 / 区分的不連続関数 / 一様位相空間 / 極限計算可能性 / ドメイン理論 / 線形作用素 / 構成的論理 / 構成的理論 / 不連続関数 / 関数空間 / グレーコード / Σ^0_1-排中律 / 計算可能性 / 型2マシン / 連続体 / 排中律 / Computability structure / Effectivity / Piecewise continuous function / Uniform space / Limit computability / Domain theory / Linear operator / Constructive logic / 拡散近似 / 確率差分方程式 / マルチンゲール法 / 攝動法 / 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 / ランダムな係数をもつ放物型偏微分方程式 / 放物型偏微分方程式 / モンジュ=アンペル作用素 / マリアバンカルキュラス / Diffusion approximations / Stochastic difference equations / Martingale methods / Perturbation methods / Stochastic partial differential equation
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Research Projects
(
27
results)
Co-Researchers
(
52
People)
Project Start Year (Newest)
Project Start Year (Oldest)
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 MATHEMATICS
Principal 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 approximation
Principal 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 Equations
Principal 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
# of Projects (Dsc)
# of Projects (Asc)
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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