| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
We have investigated some relations among the dimension of a singular set, the growth rate of a solution and the removability of a singular set for the Laplace, p-Laplace, heat equations with nonlinear source or absorption terms, and obtained results which enable us to consider fractal sets as singular sets. Also, for semilinear heat equations in a Lipschitz domain, we have obtained results about the existence of positive solutions with isolated boundary singularities and a priori estimates for all positive solutions.
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