2011 Fiscal Year Final Research Report
A blowup condition for solutions of the nonlinear integro-partial differential equation that describes population explosions
| Project/Area Number |
21540141
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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 | Osaka Prefecture University |
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Principal Investigator |
TABATA Minoru 大阪府立大学, 工学研究科, 教授 (70207215)
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| Co-Investigator(Kenkyū-buntansha) |
ESHIMA Nobuoki 大分大学, 医学部, 教授 (20203630)
TAKAGI Ichiro 東海大学, 総合経営学部, 教授 (90226746)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 人口爆発 / 人口移動 / マスター方程式 / 非線形偏微分積分方程式 |
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| Research Abstract |
We succeed in proving the following proposition : there exists a positive constant such that if initial total population and the gradient of the initial population density are larger than the positive constant, then the mixed problem for the nonlinear integro-partial differential equation that describes population explosions has a blowup solution, which converges to Dirac delta function in the sense of distribution.
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