2016 Fiscal Year Final Research Report
Analysis of standing waves for nonlinear Schroedinger equations with harmonic potential
| Project/Area Number |
26800074
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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 |
Mathematical analysis
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| Research Institution | Tsuda College |
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Principal Investigator |
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Keywords | 非線形シュレディンガー方程式 / 基底状態 / 散乱解 / 爆発解 / 一般化リュウビル・ゲルファンド方程式 / 特異解 / 分岐 / モース指数 |
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| Outline of Final Research Achievements |
First result I obtained is concerned with the global dynamics of solutions to nonlinear Schrodinger equations. Second one is to study a bifurcation diagram of generalized Liouville-Gelfand equations.
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| Free Research Field |
非線形偏微分方程式論
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