| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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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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