| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥540,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2008: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2007: ¥1,300,000 (Direct Cost: ¥1,300,000)
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| Research Abstract |
With Kimitoshi Tsutaya, we have obtained the time local well posedness for the nonlinear Dirac equation with some nonlocal nonlinear terms. Our result was critical in the sense of the scaling invariance for Sobolev norms. We first solved the problem in higher space dimensions, and later we solved the problem in 2 dimension.
With Kenji Nakanishi and Kotaro Tsugawa, we have obtained the time local and
global wellposedness for the Dirac-Klein-Gordon equation in 1 space dimension. We also have obtained illposedness for the same problem. This means we completely solved this problem.
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