| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Outline of Final Research Achievements |
Most, if not all, optimization problems in infinite dimension can be regarded as those of some measure. A measure generally has an absolutely continuous component and a discrete component with respect to the Lebesgue measure. We often observe that many optimization problems in measure spaces have a discrete optimal solution. A question then arises: in what conditions does a solution to a given class of optimization problem become discrete or absolutely continuous? The purpose of this research is to give an answer to such a question.
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