| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
We mainly investigated the uniqueness and various properties to the solution of stochastic partial differential equations, by the approach of stochastic analysis. We first considered the uniqueness of stochastic fractal Burgers equations. By introducing a new kind of definition of solution, stochastic entropy solution, we proved the uniqueness of the solution in some proper state space. We also studied long time behavior relative to intermittency of stochastic reaction-diffusion equation driven by space-time white noise on a bounded domain, which are essentially depending on the estimate of its fundamental solution.
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