| Project/Area Number |
24740081
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Basic analysis
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| Research Institution | Chiba University (2013-2014)
Tohoku University (2012) |
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Principal Investigator |
MAEDA Masaya 千葉大学, 理学(系)研究科(研究院), 助教 (40615001)
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| Project Period (FY) |
2012-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥3,380,000 (Direct Cost: ¥2,600,000、Indirect Cost: ¥780,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 非線形分散型方程式 / 爆発解 / ソリトン / 漸近安定性 / 国際情報交換 / イタリア / 非線形シュレディンガー方程式 / 励起状態解 / 安定性 / 準周期解 / ザカロフ方程式 |
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| Outline of Final Research Achievements |
In this research, we have studied the asymptotic behavior of blow-up solution and solitons of nonlinear dispersive equations. In particular, with Kishimoto, I have constructed a blow-up solution for Zakharov equation on a torus and with Suzuki, I have constructed a solution for stationary nonlinear Schrodinger equation in a thin domain which concentrated on a short line. Moreover, with Cuccagna, I have studied the asymptotic stability of fast speed soliton. By the analysis of the soliton we have developed a new method wich is based on the Hamiltonian structure of the equation. This method is expected to give a new perspective for the analysis of general nonlinear dispersive equations.
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