| Budget Amount *help |
¥10,140,000 (Direct Cost: ¥7,800,000、Indirect Cost: ¥2,340,000)
Fiscal Year 2022: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2021: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2020: ¥1,820,000 (Direct Cost: ¥1,400,000、Indirect Cost: ¥420,000)
Fiscal Year 2019: ¥2,080,000 (Direct Cost: ¥1,600,000、Indirect Cost: ¥480,000)
Fiscal Year 2018: ¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
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| Outline of Final Research Achievements |
I developed the global existence and large time behavior of solutions to nonlinear dispersive equations, especially the nonlinear Schrodinger equation and KdV equation, which describe the wave phenomena produced by the incorporation of nonlinear and dispersive effects. Regarding the nonlinear Schrodinger equation, I showed a phenomenon in which the wave energy of the solution is converted due to the concentration effect of the solutions due to the resonance/non-resonance in the interaction for nonlinear terms. Regarding the KdV equation, by considering the bilinear estimates, I showed the smoothing effect of the KdV equation and the global solvability of the Zakharov-Kuznetsov equation, which is a two-dimensional extension of the KdV equation.
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