2017 Fiscal Year Final Research Report
Global theory of the Kirchhoff equation
| Project/Area Number |
15K04967
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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 |
Mathematical analysis
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| Research Institution | Chuo University |
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Principal Investigator |
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| Project Period (FY) |
2015-04-01 – 2018-03-31
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| Keywords | Kirchhoff方程式 / Gevrey空間 / 大域解 |
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| Outline of Final Research Achievements |
The aim in this study is to prove the existence and uniqueness of Gevrey class solutions to the Kirchhoff equation. During the term of this study, it is proved that Kirchhoff equation admits a unique semiglobal solution. Namely, given a time T, the Kirchhoff admits a unique Gevrey class solution up to T. Since the Gevrey analyticity of data depends on T, our result does not achieve to solving the open problem. However, it should be mentioned that our result surpasses all of the previous known results.
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| Free Research Field |
偏微分方程式論
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