| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
We completely determine the range of Sobolev regularity of initial data to be well-posed of the Cauchy problem for the Dirac-Klein-Gordon system. We also show that the modified scattering for the solution to the Cauchy problem for the short-pulse, fifth order KdV-type, and higher order KdV-type equations. We study the Cauchy problem for the nonlinear Schrodinger equation with nonalgebraic nonlinearity in five and six dimensions. We prove that almost sure global well-posedness holds for the Cauchy problem in a larger class than the energy space for the energy-critical nonlinear Schrodinger equation.
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