| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2019: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2018: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
Focusing on the nonlinear partial differential equation called the Gel'fand problem, I worked on clarifying the detailed behavior of the blow-up phenomenon of the solution of nonlinear partial differential equations. In particular, I aimed to clarify the practical limits of "Rellich's equation" related to conformal field theory. Calculation results were obtained according to the research plan, but unfortunately it was not as accurate as expected. However, in order to break the situation, I conducted joint research with physicists, reconsidering equations from the viewpoint of statistical mechanics, and proceeding with consideration based on the physical theory called linear response theory, and I found a novel discrete approximation of the research object. I believe that this have opened a new way to approach the phenomenon of interest.
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