Organization
Graduate School of Science Department of Mathematics Associate Professor
School of Science Department of Mathematics
School of Science Department of Mathematics
Title
Associate Professor
Affiliation
Institute of Science
Kan Toru
Position
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Graduate School of Science Department of Mathematics
Associate Professor 2022.04 - Now
-
School of Science Department of Mathematics
Associate Professor 2022.04 - Now
Degree
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博士（理学） （ Tohoku University ）
Research Areas
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Natural Science / Mathematical analysis
Research subject summary
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非線形偏微分方程式の解構造の解明
Professional Memberships
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日本数学会
2009 - Now Domestic
Papers
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The interior Backus problem: Local resolution in Hölder spaces Reviewed International coauthorship
Toru Kan, Rolando Magnanini, Michiaki Onodera
381 20 - 47 2024.02（ ISSN:00220396 ）
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Secondary bifurcations in semilinear ordinary differential equations Reviewed
Toru Kan
Partial Differential Equations and Applications 3 ( 5 ) 2022.09
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Time-periodic flows of electrons and holes in semiconductor devices Reviewed
Toru Kan, Masahiro Suzuki
Mathematical Methods in the Applied Sciences 45 ( 10 ) 6096 - 6130 2022.03
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Backus problem in geophysics: a resolution near the dipole in fractional Sobolev spaces Reviewed International coauthorship
Toru Kan, Rolando Magnanini, Michiaki Onodera
Nonlinear Differential Equations and Applications NoDEA 29 2022.02
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Uniform estimates and uniqueness of stationary solutions to the drift-diffusion model for semiconductors Reviewed
Toru Kan and Masahiro Suzuki
Applicable Analysis 雑誌 98 1799 - 1810 2019
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Time-dependent singularities in semilinear parabolic equations: existence of solutions Reviewed
Toru Kan and Jin Takahashi
Journal of Differential Equations 雑誌 263 6384 - 6426 2017
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Time-dependent singularities in semilinear parabolic equations: behavior at the singularities Reviewed
Toru Kan and Jin Takahashi
Journal of Differential Equations 雑誌 260 7278 - 7319 2016
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Existence and stability of time-periodic solutions to the drift-diffusion model for semiconductors Reviewed
Toru Kan and Masahiro Suzuki
Bulletin of the Institute of Mathematics Academia Sinica New Series 雑誌 10 615 - 638 2015
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On the profile of solutions with time-dependent singularities for the heat equation Reviewed
Toru Kan and Jin Takahashi
Kodai Mathematical Journal 雑誌 37 568 - 585 2014
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Analytic imperfect bifurcation theorem and the Liouville-Gel'fand equation on a perturbed annular domain Reviewed
Toru Kan and Yasuhito Miyamoto
Mathematische Nachrichten 雑誌 286 1142 - 1166 2013
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Global structure of the solution set for a semilinear elliptic problem related to the Liouville equation on an annulus Reviewed
Toru Kan
Springer INdAM Series 雑誌 2 201 - 222 2013
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Persistence of the bifurcation structure for a semilinear elliptic problem on thin domains Reviewed
Toru Kan
Nonlinear Analysis 雑誌 73 2941 - 2956 2010
Grant-in-Aid for Scientific Research
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Analysis of dynamic singularities in parabolic partial differential equations
Grant-in-Aid for Scientific Research(B) 2026
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Analysis of dynamic singularities in parabolic partial differential equations
Grant-in-Aid for Scientific Research(B) 2025
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Analysis of dynamic singularities in parabolic partial differential equations
Grant-in-Aid for Scientific Research(B) 2024
Charge of on-campus class subject
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数学特別研究2A
2024 Intensive lecture Graduate school
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数学特別研究1A
2024 Intensive lecture Graduate school
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函数方程式特論B
2024 Weekly class Graduate school
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数学特別研究5A
2024 Intensive lecture Graduate school
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数学特別研究4A
2024 Intensive lecture Graduate school
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数学特別研究3A
2024 Intensive lecture Graduate school
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ベクトル解析
2024 Weekly class Graduate school
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解析学III
2024 Weekly class Undergraduate
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数学概論A
2023 Weekly class Graduate school
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ベクトル解析
2023 Weekly class Undergraduate
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解析学III
2023 Weekly class Undergraduate
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関数解析学
2023 Weekly class Undergraduate
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応用数学
2023 Weekly class Undergraduate
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ベクトル解析
2022 Weekly class Undergraduate
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常微分方程式
2022 Weekly class Undergraduate
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函数方程式特論B
2022 Weekly class Graduate school
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関数解析学
2022 Weekly class Undergraduate
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解析学III
2022 Weekly class Undergraduate
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Practicum in Applied Analysis
2021
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Special Topics in Mathematical Systems Engineering A
2021
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Mathematical Analysis III
2021
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Vector Analysis
2021
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Mathematical Analysis A
2021
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Functional Analysis
2021
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Partial Differential Equations
2021
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Ordinary Differential Equations
2021