High frequency asymptotic analysis for nonlinear partial differential equations
| Project/Area Number |
25400161
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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 | Osaka University |
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Principal Investigator |
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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)
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| Keywords | 高周波漸近解析 / 非線形 / 双曲型方程式 / 分散型方程式 / シュレディンガー方程式 / 零構造 / ライフスパン / 非線形消散構造 / 波動方程式 / 非線形消散 / 非線形シュレディンガー方程式 / 漸近解析 |
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| Outline of Final Research Achievements |
Nonlinear partial differential equations of hyperbolic and dispersive type have been studied from the viewpoint of high frequency asymptotic analysis. A sharp lower bound estimate for the lifespan of small data solutions to nonlinear Schrodinger equations has been provided. Several results have been obtained concerning resonance-type behavior, null structure and dissipative structure for nonlinear Schrodinger systems with multiple masses.
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Report
(5 results)
Research Products
(21 results)
