| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Outline of Final Research Achievements |
We studied solutions and their singularities of nonlinear partial differential equations in the complex domain, and obtained the following results. (1) We proved the existence and the uniqueness of the solution of nonlinear partial differential equations of various types. (2) In the case of Briot-Bouquet type partial differential equations with a positive integral characteristic exponent, we determined all solutions which have singularities on a hypersurface. (3) We proved the multisummability of formal solutions to linear partial differential equastions of non-Kowalevskian type. (4) We studied q-analogues of Laplace and Borel transforms, and applied it to linear q-difference partial differential equations.
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