Study of structures of solutions to variational problems, optimization problems and nonlinear partial differential equations
| Project/Area Number |
22540203
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Tokyo Metropolitan University |
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Principal Investigator |
KURATA Kazuhiro 首都大学東京, 大学院・理工学研究科, 教授 (10186489)
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| Co-Investigator(Renkei-kenkyūsha) |
TANAKA Kazunaga 早稲田大学, 大学院・理工学術院, 教授 (20188288)
JIMBO Shuichi 北海道大学, 大学院・理学研究院, 教授 (80201565)
SHIBATA Tetsutaro 広島大学, 大学院・工学研究科, 教授 (90216010)
SHIBATA Masataka 東京工業大学, 理工学研究科, 助教 (90359688)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥3,250,000 (Direct Cost: ¥2,500,000、Indirect Cost: ¥750,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 関数方程式 / パターン形成 / 変分問題 / 非線形楕円型方程式 / 特異摂動問題 / 楕円型作用素の固有値 / 非線形楕円型固有値問題 / 逆問題 / 解析学 / 非線形現象 |
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| Research Abstract |
We proved existence of non-constant stationary solutions to nonlinear reaction-diffusion equations arising in some pattern formation problems, for example, an Allen-Chan modelwith non-homogeneous environment and a Chemotaxis model with saturation effect.
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Report
(4 results)
Research Products
(74 results)
