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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| Project Status |
Completed (Fiscal Year 2017)
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| Budget Amount *help |
¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | Kirchhoff方程式 / Gevrey空間 / 大域解 / 時間大域解 / Gevreyクラス / 外部問題 |
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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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Report
(4 results)
Research Products
(17 results)
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[Journal Article] The Kirchhoff equation with Gevrey data2017
Author(s)
T. Matsuyama and M. Ruzhansky
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Journal Title
New trends in analysis and interdisciplinary applications, Trends in Mathematics. Research Perspectives.
Volume: ー
Pages: 313-318
DOI
ISBN
9783319488103, 9783319488127
Related Report
Peer Reviewed / Int'l Joint Research
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