| Budget Amount *help |
¥2,470,000 (Direct Cost: ¥1,900,000、Indirect Cost: ¥570,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
The research results are as follows. (1) We proved the well-posedness and ill-posedness of the Cauchy problem for the one dimensional Chern-Simons-Dirac system. We completely determined the range, which is not convex, of Sobolev regularity to be well-posed. (2) We proved the global well-posedness and scattering for the fourth order nonlinear Schrodinger equation. (3) We obtain the well-posedness and ill-posedness results of the Cauchy problem for the generalized Thirring model.
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