| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2016: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
A mathematical analysis of Schrodinger equation, describing the motion of particles in quantum mechanics, has been developed. We have studied effects of the behavior of external electromagnetic potentials and Hamilton flows to the behavior of the solution of Schrodinger equation, through several space-time norm inequalities. In particular, we have constructed a unified approach to deal with both the asymptotically flat metric and unbounded electromagnetic potentials. As a consequence, Strichartz estimates without loss of derivatives have been shown for such a mixed case.
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