| Budget Amount *help |
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Research Abstract |
We obtained the global existence and non-existence of the solutions to the Cauchy problem of nonlinear Schrodinger equations. Remark that, in our research, the initial data consists of superposition of d-functions. In particular, when the initial data consists of three d-functions, we observe that the difficulty of the proof for global existence changes dependently on the distribution of the d-functions. Furthermore, giving a concrete distribution like d-functions, we see that certain feature of solutions, e.g., generalization of new modes, which is typically caused by nonlinear phenomena.
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