| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
As for the wavelet theory, we could find some practical wavelets and construct an interesting counter example concerned with the unconditional convergence of wavelet expansions. As for the partial differential equations theory, we succeeded to get the very useful representation formula of the solutions to the Cauchy problem for the second order wave type equations. These research results are sufficiently satisfactory as an each result in the wavelet theory and the partial differential equations theory. Combining the partial differential equations theory with the wavelet theory, we also obtained a result concerned with the relations between the wellposedness and the oscillations of the coefficients by visualizing with the wavelet transform. This seems to be still scope for improvement and will become the research subject in the future.
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