| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Outline of Final Research Achievements |
A subbundle of the tangent bundle on a manifold are called a differential system. The theory of differential systems is known as a method to study partial differential equations. Partial differential equations are used to describe natural phenomena, therefore to study partial differential equations is important. Especially, to study partial differential equations having singularities is garnering attention. In this situation, we study partial differential equations having singularities from the view point of the theory of differential systems and get fundamental theorems for the equations. We apply the above result to second and third order partial differential equations with one dependent and two independent variables and obtain the characterization of the existence of solutions.
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