2017 Fiscal Year Final Research Report
A new trend of function spaces with variable exponents
| Project/Area Number |
26400154
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Hiroshima University (2016-2017)
Hiroshima Institute of Technology (2014-2015) |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
山内 雄介 広島工業大学, 工学部, 准教授 (00451435)
大野 貴雄 大分大学, 教育学部, 准教授 (40508511)
小山 哲也 広島工業大学, 工学部, 教授 (50170402)
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| Project Period (FY) |
2014-04-01 – 2018-03-31
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| Keywords | function space / variable exponent / Sovolev theorem |
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| Outline of Final Research Achievements |
To develop various phenomena surrounding our nature by applying Mathematical method, a theory of partial differential equation is used. To do so, our first task is to find partial differential equation describing phenomena and analyze solution of the equation. For this purpose, function spaces play an important role.
In our study, we extend the theory developed by Sobolev, which will be used to investigates various phenomena. It will be expected to give further development of our theory.
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| Free Research Field |
potential theory
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