|Budget Amount *help
¥17,940,000 (Direct Cost: ¥13,800,000、Indirect Cost: ¥4,140,000)
Fiscal Year 2010: ¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2009: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
Fiscal Year 2008: ¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2007: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
We study the shapes of the solutions of diffusive equations, and reveal the relationship between the movement of hot spots and the harmonic functions. Furthermore we studied the asymptotics of the solutions for the semilinear heat equations. In particular, we characterized the location of blow-up set for blow-up solutions, and also gave the decay estimates of the deference between global in time solutions and their asymptotics.