| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
We have deepened our original method and extended its range in order to solve various problems for differential equations. We obtain all the candidate solutions and derive transcendental equations equivalent to problems to be solved.
Especially, as for a cross-diffusion equation,we obtained the stability of stationary solutions in multidimensional case, which is inspired by 1 dimensional case results obtained by our method.
As for linearized eigen-value problems for reaction diffusion equations, we have obtained all exact values of eigen-values and representation formula of eigen-fuctions which have been thought impossible.
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