2011 Fiscal Year Final Research Report
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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| 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 |
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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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