A regularity criterion for the harmonic map flows and asymptotic analysis for singularity
| Project/Area Number |
21540222
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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 |
Global analysis
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| Research Institution | Kumamoto University |
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Principal Investigator |
MISAWA Masashi 熊本大学, 大学院・自然科学研究科, 教授 (40242672)
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| Co-Investigator(Renkei-kenkyūsha) |
TONEGAWA Yoshihiro 北海道大学, 大学院・理学研究科, 教授 (80296748)
YAMAURA Yoshihiko 日本大学, 文理学部, 教授 (90255597)
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| Project Period (FY) |
2009 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2009: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 調和写像 / 調和写像流 / 変分問題 / 弱解 / 大域存在 / 正則性 / 特異性 / p調和写像 / p調和写像流 / 正則性評価 / 国際共同研究 / p調和作用素 / 国際研究者交流 / 国際情報交換 / 漸近解析 / 幾何学的変分問題 |
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| Research Abstract |
I consider the evolution of the harmonic maps, called the harmonic map flows. In particular, I study the global existence and regularity of weak solutions of the harmonic map flows. I improve the regularity criterion for weak solutions and show the global existence of the dissipative wave equations, with applications to the wave maps.
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Report
(4 results)
Research Products
(18 results)
