Gevrey asymptotic theory for first-order linear and semi-linear partial differential equations of nilpotent type
| Project/Area Number |
23740114
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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 | Meijo University |
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Principal Investigator |
HIBINO Masaki 名城大学, 理工学部, 准教授 (10441461)
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| Project Period (FY) |
2011 – 2013
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
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| Keywords | 関数方程式論 / 複素解析 / 発散級数 / 総和可能性 / 解析接続 |
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| Research Abstract |
We studied two complex dimensional singular first-order linear partial differential equations of nilpotent type. Our main purpose was to give conditions for equations under which the divergent power series solution is Borel summable. As a consequence, we could conjecture conditions, in forms of global conditions (analytic continuation property, growth conditions or decreasing conditions) for coefficients of equations. Moreover, we could accomplish the proof of conjecture for some special, but have not been treated previously, equations.
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Report
(4 results)
Research Products
(7 results)
