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J-GLOBAL ID：200901078712049593
Update date: Jan. 30, 2024
Honda Naofumi
ホンダ ナオフミ | Honda Naofumi
Affiliation and department：
Job title：
Professor
Research field (1)：
Basic analysis
Research keywords (2)：
algebraic analysis
, 代数解析学
Research theme for competitive and other funds (28)：
- 2021 - 2024 Gevreyクラスの多重強漸近展開と漸近解の研究
- 2019 - 2023 複雑領域における楕円型方程式系のスペクトル解析と応用
- 2018 - 2021 Study of analytic pseudodifferential operators with various bounds
- 2016 - 2019 Singular or extreme shaped doman and elliptic system
- 2015 - 2018 Study of multi-microlocalization and its applications
- 2014 - 2018 Algebraic analysis of parametric Stokes phenomena
- 2016 - 2018 偏微分方程式の逆問題のインバージョンに関する数学的厳密性と実用可能性の研究
- 2013 - 2017 Algebraic analysis of boundary value problems for sheaves and D-modules
- 2013 - 2016 Singular domain deformation and analysis on elliptic operators in elasticity and electromagnetism
- 2010 - 2014 Asymptotic analysis of instanton-type solutions
- 2011 - 2013 On the exact WKB method from a viewpoint of microlocal analysis
- 2010 - 2012 Eigenvalue problem of the Lame operator on a domain with a multi- structure
- 2010 - 2012 Study of Inverse Problems for Family of Elasticity Equations
- 2008 - 2012 Study of Fuchsian system of differential equations from the view point of algebraic analysis and microlocal analysis
- 2008 - 2010 On the geometry of a Riemann surface underlying a virtual turning point
- 2007 - 2009 Reconstruction schemes for inverse problems identifying unknown oefficients and boundaries for partial differential equations
- 2006 - 2008 Exact WKB analysis of systems of differential equations
- 2005 - 2008 Spectral analysis of elliptic operators with singular domain deformation and coefficients degeneration
- 2001 - 2002 Gevrey超関数に対する緩増大関手の研究
- 1998 - 1999 過剰決定系のG_2幾何学
- 1997 - 1999 Nonlinear partial differential equations and infinite dimensional dynamical systems
- 1997 - 1998 極大過剰決定系のストークス現象の研究
- 1996 - 1996 ギンツブルグ ランダウ 方程式の解の構造の研究
- 1996 - 1996 実半単純リー群の表現とベき零軌道のケーリ-型変換
- 1995 - 1996 Research on Complex Analytic Geometry and Singularity Theory
- 1993 - 1993 非対称結合神経回路網による動的環境の認識・学習の情報理論的分析
- 不確定特異点型の極大過剰決定系の研究
- On the structure of the holonomic systems
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Papers (53)：
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Naofumi HONDA, Takeshi IZAWA, Tatsuo SUWA. Sato hyperfunctions via relative Dolbeault cohomology. Journal of the Mathematical Society of Japan. 2023. 75. 1. 229-290
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Matthias Eller, Naofumi Honda, Ching-Lung Lin, Gen Nakamura. Global unique continuation from the boundary for a system of viscoelasticity with analytic coefficients and a memory term. Inverse Problems and Imaging. 2022. 16. 6. 1529-1542
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Naofumi Honda, Ching-Lung Lin, Gen Nakamura, Satoshi Sasayama. Unique continuation property of solutions to general second order elliptic systems. Journal of Inverse and Ill-posed Problems. 2021. 30. 1. 5-21
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N. Honda. Hyperfunctions and Cech-Dolbeault cohomology in microlocal point of view. RIMS Koukyuroku. 2019. 2101. 1. 7-12
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N. Honda, L, Prelli. On the Algebraic Study of Asymptotics. Springer Proceedings in Mathematics & Statistics. 2018. 256. 1. 227-238
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MISC (4)：
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本多 尚文. シュワルツ超関数と佐藤超関数 (特集 解析学における様々な発想 : 現象の本質を解き明かすために). 数理科学. 2013. 51. 4. 43-48
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青木 貴史, 本多 尚文. 野海・山田系に付随する代数方程式系の解について (超函数と線型微分方程式 2006. 数学史とアルゴリズム). 数理解析研究所講究録. 2009. 1648. 107-116
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青木 貴史, 本多 尚文. 野海・山田系に付随する代数方程式系について (Toward the complete and algorithmic description of the Stokes geometry). 数理解析研究所講究録. 2006. 1516. 1-8
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本多 尚文. 完全可積分系のdistribution解の可解性について(代数解析学と整数論). 数理解析研究所講究録. 1992. 810. 39-42
Books (2)：
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Virtual turning points, Springer briefs in Mathematical Physics, 4
Springer 2015
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General topology
Suugaku Shyobou 2010
Lectures and oral presentations (3)：
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Čech-Dolbeault cohomology and hyperfunctions
(微分方程式の総合的研究 全体講演 2018)
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仮想変わり点の幾何とストークス係数,
(2010年度日本数学会秋季大会函数方程式分科会特別講演 2010)
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不確定特異点型極大過剰決定系の解の構造について
(1996年度日本数学会春季大会函数解析分科会特別講演 1996)
Education (2)：
- 1988 - 1991 東京大学大学院 理学系研究科 博士 数学専攻
- 1986 - 1988 東京大学大学院 理学系研究科 修士 数学専攻
Professional career (2)：
- Doctor of Science (University of Tokyo)
- 理学修士
Work history (1)：
- 2016/01 - 現在 Faculty of Science, Hokkaido University Department of Mathematics Professor
Association Membership(s) (1)：
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