The Best Constant of Sobolev Inequalities-from continuous to discrete
| Project/Area Number |
20540138
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Nihon University |
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Principal Investigator |
NAGAI Atsushi 日本大学, 生産工学部, 准教授 (90304039)
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| Co-Investigator(Kenkyū-buntansha) |
KAMETAKA Yoshinori 大阪大学, 大学院・基礎工学研究科, 名誉教授 (00047218)
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| Project Period (FY) |
2008 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 応用数学 / ソボレフ不等式 / 最良定数 / 離散化 / 正多面体 / 熱作用素 / 楕円θ関数 / 境界値問題 / グリーン関数 / 離散 / 再生核 / ベルヌーイ多項式 / 超幾何関数 |
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| Research Abstract |
We have found the best constants of Sobolev inequalities, which play important roles in the development of differential equations in 20th century, by using Green functions of many kinds of boundary value problems. We also discretize the Sobolev inequalities, which had been unsolved problems.
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Report
(6 results)
Research Products
(24 results)
