| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Research Abstract |
We have succeeded to obtain the results concerned with well-posedness and ill-posedness of the Cauchy problem for hyperbolic equations and systems with coefficients depending on the time variable. The well-posedness means that the life span tends to infinity, and the ill-posedness means that the solution blows up in a finite life span. In particular, we have also succeeded to get a representation formula of the solution (which possibly shows the exact value of the life span) and a construction of the approximate solution (which can be expected to give the order of the life span ).
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