2012 Fiscal Year Final Research Report
Research onstochastic partial differential equationswith some singularities
| Project/Area Number |
21740067
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Shinshu University |
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Principal Investigator |
XIE Bin 信州大学, ファイバーナノテク国際若手研究者育成拠点, 助教 (50510038)
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| Project Period (FY) |
2009 – 2012
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| Keywords | 確率論 / 確率解析 / 確率偏微分方程式 / 爆発時刻 |
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| Research Abstract |
In this project, I mainly did some researches on fundamental problems, explosion and ergodicity for stochastic partial differential equations with different singularities. In particular, I found that appropriate noise can delay the blow-up time of a nonlinear stochastic partial differential equation, deduced the well-knows Bismut-Elworthy formula for stochastic differential equations with Levy time noise. Moreover, as joint work, we deduced some new stochastic partial differential equations by the study of the fluctuation of two dimensional evolutionary Young diagrams.
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Research Products
(19 results)
