| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2015: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2014: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2013: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
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| Outline of Final Research Achievements |
In this project we are concerned with various wave propagation phenomena of dispersive evolution equations including the Schro"dinger equationｓ. The central object is in the uniform resolvent estimates for the magnetic Schro"dinger operators in extrior domain. Two dimensional problems is successfully solved, and we can now expect to develop several scattering problems of all dimensions. Especially, smoothing and Strichartz estimates are to be established to magnetic Klei-Gordon equations in exterior domain.
As for the one dimensional operators, the inverse problem to determine the potential from the scattering matrix is studied on several kind of unbounded star graphs. Coming study is concentrated to the graph which consists of a roop attached by several infinite rays.
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