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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- 1 Similar Profiles
Collaborations and top research areas from the last five years
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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