Garnier systems and exact WKBanalysis
| Project/Area Number |
21740098
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Kobe University |
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Principal Investigator |
KOIKE Tatsuya 神戸大学, 大学院・理学研究科, 准教授 (80324599)
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| Project Period (FY) |
2009 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
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: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 完全 WKB 解析 / ボレル総和法 / ガルニエ系 / パンルベ方程式 / リッカチ方程式 / 一次元シュレーディンガー方程式 / GKZ 超幾何系 / 完全WKB解析 / 特異摂動論 / GKZ超幾何方程式系 / 特異摂動 / 非斉次常微分方程式 / ホレル総和可能性 / キーワード6 / キーワード7 / キーワード8 |
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| Research Abstract |
Exact WKB analysis is stuidied for second order linear or non-linear ordinary differential equations, such as Painleve equations and the one-dimensional Schrodinger equation. Main results of this project are giving a proof of Borel summability of WKB solutions to such equations, clarifying some properties of singularities of Borel transforms of WKB solutions.
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Report
(5 results)
Research Products
(32 results)
