Projects per year
Personal profile
Campus career
数理情報科学系 教授 2010/04/01-2019/09/30
数学科 教授 2019/10/01-
理学系 教授 2019/10/01-
理学部理学科 基幹教員
学部運営への参画状況・・・有-教授会
担当授業科目に係る状況・・・主要授業科目担当
Affiliated academic society
Research Fields, Keywords
- Hamilton-Jacobi equations
- stochastic control
Field of expertise (Grants-in-aid for Scientific Research classification)
- Basic analysis
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Collaborations and top research areas from the last five years
Projects
- 6 Finished
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Study on Hamilton-Jacobi flows with initial data of various pathological functions
Fujita, Y. (PI)
2021/04/01 → 2025/03/31
Project: Research
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Study on Hamilton-Jacobi flows with initial data of pathological functions
Fujita, Y. (PI)
2018/04/01 → 2022/03/31
Project: Research
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Deepening and application of a theory for the logarithmic Sobolev inequality
Fujita, Y. (PI), Ishii, H. (CoI) & Ishii, K. (CoI)
2015/04/01 → 2018/03/31
Project: Research
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Study for Hamilton-Jacobi equations and logarithmic Sobolev inequality
Fujita, Y. (PI) & Ishii, H. (CoI)
2012/04/01 → 2015/03/31
Project: Research
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New development and its application of Aubry-Mather theory for Hamilton-Jacobi equations
Fujita, Y. (PI), Ishii, H. (CoI) & Ohmori, K. (CoI)
2009/04/01 → 2012/03/31
Project: Research
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Hamilton–Jacobi flows with nowhere differentiable initial data
Fujita, Y., Siconolfi, A. & Yamaguchi, N., 2023/04, In: Mathematische Annalen. 385, 3-4, p. 1061-1084 24 p.Research output: Contribution to journal › Article › peer-review
Open Access1 Scopus citations -
A Self-Affine Property of Evolutional Type Appearing in a Hamilton-Jacobi Flow Starting from the Takagi Function
Fujita, Y., Hamamuki, N. & Yamaguchi, N., 2022/03, In: Michigan Mathematical Journal. 71, 1, p. 105-120 16 p.Research output: Contribution to journal › Article › peer-review
1 Scopus citations -
The best constant for an inequality related to the Mathieu series
Fujita, Y. & Azuma, H., 2022, In: Toyama Mathematical Journal. 43, p. 77-90Research output: Contribution to journal › Article › peer-review
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A class of nowhere differentiable functions satisfying some concavity-type estimate
Fujita, Y., Hamamuki, N., Siconolfi, A. & Yamaguchi, N., 2020/04/01, In: Acta Mathematica Hungarica. 160, 2, p. 343-359 17 p.Research output: Contribution to journal › Article › peer-review
5 Scopus citations -
All the generalized characteristics for the solution to a Hamilton–Jacobi equation with the initial data of the Takagi function
Fujita, Y., Hamamuki, N. & Yamaguchi, N., 2020/12, In: Partial Differential Equations and Applications. 1, 6, 38.Research output: Contribution to journal › Article › peer-review
Open Access1 Scopus citations
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A distinction between the Weierstrass function and the Takagi function by Hamilton-Jacobi flows
Fujita, Y. (Speaker)
2024/01/22 → 2024/01/24Activity: Talk or presentation › Invited talk
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高木函数を初期値とする Hamilton-Jacobi 方程式における特異性の伝播
Fujita, Y. (Speaker)
2020/09/22 → 2020/09/25Activity: Talk or presentation › Oral presentation
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至る所微分不可能な函数と Hamilton-Jacobi flow
Fujita, Y. (Speaker)
2019/12/07Activity: Talk or presentation › Oral presentation
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Hamilton-Jacobi 方程式に現れる時間発展型のself-affine 性
Fujita, Y. (Speaker)
2019/09/17 → 2019/09/20Activity: Talk or presentation › Oral presentation
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A self-affine property appearing in a Hamilton--Jacobi flow starting from the Takagi function
Fujita, Y. (Speaker)
2019/07/01 → 2019/07/06Activity: Talk or presentation › Oral presentation
Courses
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数理情報学演習3
Kikuchi, M., Kimura, I., Koda, T., Fujita, Y., Nagai, S., Deguchi, H., Kawabe, T., Ueda, K., Fujita, K., Yamane, H., Akiyama, M., Hirobayashi, S., Takamatsu, M., Tabata, T., Misawa, T., Hasegawa, H., Tamaki, K., Gao, S., Nagaoka, R., Katagiri, T., Oshima, Y. & Nozawa, T. 2024/12/04 → 2025/02/10
Course
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理学部入門B
Course
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数理情報学演習2
Kikuchi, M., Kimura, I., Koda, T., Fujita, Y., Nagai, S., Deguchi, H., Kawabe, T., Ueda, K., Fujita, K., Yamane, H., Akiyama, M., Hirobayashi, S., Takamatsu, M., Tabata, T., Misawa, T., Hasegawa, H., Tamaki, K., Gao, S., Nagaoka, R., Katagiri, T., Oshima, Y. & Nozawa, T. 2024/10/02 → 2024/12/03
Course