Dispersion for the Kirchhoff equation
| Project/Area Number |
21540198
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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 | Chuo University (2011-2013)
Tokai University (2009-2010) |
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Principal Investigator |
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| Project Period (FY) |
2009-04-01 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | Kirchhoff 方程式 / 分散型評価 / 外部問題 / キルヒホッフ方程式 / 散乱問題 / 線形双曲型方程式系 / 分散型評価式 / Kirchhoff方程式 / 散逸評価 / 線形偏微分方程式 / 漸近積分 / 一般化されたフーリエ変換 / レゾルベント評価 |
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| Research Abstract |
In this project we obtained representation formula and dispersive estimates for linear hyperbolic equations via asymptotic integrations method, which was published from C. R. Acad. Sci. Paris and Adv. Differential Equation. There is another result; global existence of solutions for the Kirchhoff equation in exterior domains, and Kirchhoff systems with small data. These results were published from J. Math. Soc. Japan and J. Math. Pures Appl., respectively. Most of this project were done by the joint work with M. Ruzhansky.
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Report
(6 results)
Research Products
(49 results)
