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HIRATA Hitoshi
平田 均
Connect your ORCID iD
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Researcher Number
20266076
Other IDs
Affiliation (Current)
2019: 上智大学, 理工学部, 助教
Affiliation (based on the past Project Information)
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2009: 上智大学, 理工学部, 講師
2006 – 2007: Sophia University, Faculty of Science and Technology, Lecturer, 理工学部, 講師
2001 – 2005: 上智大学, 理工学部, 助手
1995 – 1999: 上智大学, 理工学部, 助手
1998: 上智大学, 理工学部 数学科, 助手
1996: 上智大学, 理工学部・数学科, 助手
Review Section/Research Field
Principal Investigator
Basic analysis
/
解析学
Except Principal Investigator
解析学
/
Basic analysis
/
Basic analysis
Keywords
Principal Investigator
Davey-Stewartsur system / 非線形Schrodinger方程式 / 断熱近似 / 離散Schrodinger作用素 / 非線形偏微分方程式 / 可積分系 / Backlund変換
Except Principal Investigator
漸近展開 / 特異点 / 解析汎関数
…
More
/ 特異摂動 / 複素領域 / 漸近解析 / asymptotic analysis / 複素球面 / フーリエ・ボレル変換 / 偏微分方程式 / 形式解 / 複素偏微分方程式 / singularity / 微分方程式 / complex domain / differential equation / Briot-Bouquet / Maillet / p楕円型 / multi-summability / 錐に台をもつ超関数 / 解の特異点 / Fuchs型 / 超関数 / 複素光錐 / 非線型シュレディンガー方程式 / 非線型偏微分方程式 / ジュヴレイ級関数族 / 大域解の存在 / 指数型正則関数 / 関数方程式 / 正則性 / 合成積方程式 / 正則解 / 変換の方程式 / 複素多様体 / 数式処理 / 整数論 / 代数学 / リ-球 / ディリクレ級数 / フーリエ-ボレル変換 / Complex Manifold / Analytic Functional / Partial Differential Equation / Singularity / asymptotic Expansion / Computer / Integer theory / Algebra / 複素編微分方程式 / Partial differential equations in the complex domain / Asymptotic expansion / ストークス現象 / 鞍点 / 非線形 / singular point / Stokes phenomenon / saddle point / nonlinear / 特異性 / 積分表示 / 多重総和 / Fuchs型偏微分方程式 / Maillet型定理 / Backlund変換 / 解の特異性 / 熱方程式 / integral representation / multi summability / ボレル総和可能 / 多重総和可能 / フックス型方程式 / 全特性的 / 確率的複雑さ / 形式級数解 / 確定特異点型 / 非線形偏微分方程式 / 正の定符号型超関数 / nonlinear totally characteristic / Borel総和可能 / p楕円型方程式 / 指数型超関数 / 熱核の方法 / Borel summable / multi-summable / Fuchsian equation / totally characteristic / A-elliptic / distribution with support in a cone / stochastic complexity / 漸近挙動 / p-ラプラス方程式 / 多重和可能 / Gevrey評価 / Gevrey型誤差評価 / Daubeschies Operator / CDF系 / ゲルファントーシロフ空間 / 特異点をもつ解 / 正定符号超関数 / complex partial differential equations / singularity of solutions / asymptotic behavior / formal solutions / generalized functions / p-Laplace equation / multisummability / Gevrey estimate
Less
Research Projects
(
13
results)
Co-Researchers
(
11
People)
Project Start Year (Newest)
Project Start Year (Oldest)
A STUDY OF SINGULARITIES IN NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS IN THE COMPLEX DOMAIN
Principal Investigator
TAHARA Hidetoshi
Project Period (FY)
2007 – 2009
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Basic analysis
Research Institution
Sophia University
Study of the structure of solutions of partial differential equations in the complex domain
Principal Investigator
OUCHI Sunao
Project Period (FY)
2004 – 2006
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Basic analysis
Research Institution
Sophia University
Asymptotic analytical study of differential equations
Principal Investigator
UCHIYAMA Koichi
Project Period (FY)
2003 – 2004
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Basic analysis
Research Institution
Sophia University
波動方程式と熱方程式を補間するある種の非線形積分微分方程式の解析
Principal Investigator
Principal Investigator
平田 均
Project Period (FY)
2001 – 2002
Research Category
Grant-in-Aid for Young Scientists (B)
Research Field
Basic analysis
Research Institution
Sophia University
Study on differential equations by asymptotic analysis
Principal Investigator
UCHIYAMA Koichi
Project Period (FY)
2001 – 2002
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Basic analysis
Research Institution
SOPHIA UNIVERSITY
非線形Schrodinger方程式に対する断熱極限問題
Principal Investigator
Principal Investigator
平田 均
Project Period (FY)
1998 – 1999
Research Category
Grant-in-Aid for Encouragement of Young Scientists (A)
Research Field
Basic analysis
Research Institution
Sophia University
Study on asymptotic analysis of differential equations
Principal Investigator
UCHIYAMA Koichi
Project Period (FY)
1998 – 1999
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
Basic analysis
Research Institution
Sophia University
Study of structure of solution to partial differential equations
Principal Investigator
OUCHI Sunao
Project Period (FY)
1997 – 1998
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
解析学
Research Institution
Sophia University
漸近解析と微分方程式の研究
Principal Investigator
内山 康一
Project Period (FY)
1996
Research Category
Grant-in-Aid for Scientific Research (C)
Research Field
解析学
Research Institution
Sophia University
水面波の方程式の解の研究
Principal Investigator
Principal Investigator
平田 均
Project Period (FY)
1996
Research Category
Grant-in-Aid for Encouragement of Young Scientists (A)
Research Field
解析学
Research Institution
Sophia University
CONSTRUCTION OF ANALYSIS ON COMPLEX MANIFOLD
Principal Investigator
YOSINO Kunio
,
森本 光生
Project Period (FY)
1996 – 1998
Research Category
Grant-in-Aid for Scientific Research (B)
Research Field
解析学
Research Institution
SOPHIA UNIVERSITY
球面上の解析
Principal Investigator
MORIMOTO Mitsuo
Project Period (FY)
1995
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Sophia University
漸近解析の総合的研究
Principal Investigator
内山 康一
Project Period (FY)
1995
Research Category
Grant-in-Aid for General Scientific Research (C)
Research Field
解析学
Research Institution
Sophia University
# of Projects (Dsc)
# of Projects (Asc)
1.
YOSHINO Kunio
(60138378)
# of Collaborated Projects:
11 results
# of Collaborated Products:
0 results
2.
TAHARA Hidetoshi
(60101028)
# of Collaborated Projects:
10 results
# of Collaborated Products:
0 results
3.
UCHIYAMA Koichi
(20053689)
# of Collaborated Projects:
10 results
# of Collaborated Products:
0 results
4.
OUCHI Sunao
(00087082)
# of Collaborated Projects:
8 results
# of Collaborated Products:
0 results
5.
MORIMOTO Mitsuo
(80053677)
# of Collaborated Projects:
6 results
# of Collaborated Products:
0 results
6.
GOTO Satoshi
(00286759)
# of Collaborated Projects:
3 results
# of Collaborated Products:
0 results
7.
AOYAGI Miki
(90338434)
# of Collaborated Projects:
2 results
# of Collaborated Products:
0 results
8.
長友 康行
(10266075)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
9.
KATO Masahide
(90062679)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
10.
KANEYUKI Souji
(40022553)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
11.
SAITO Tomokatsu
(00119132)
# of Collaborated Projects:
1 results
# of Collaborated Products:
0 results
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