| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2013: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
|
|---|
| Research Abstract |
We discovered the existence of the double structure in the wave equations with da-mping terms decaying critically near infinity from the viewpoint of the energy decay rates. Secondly we
caught the asymptotic profile of solutions to the strongly damped wave equations in the abstract framework. Thirdly, we derived precise decay estimates of solutions to the wave equations with non-local terms, wh-ich interpolates the weak and strong damping. Finally, we constructed a new modified energy method in the
Fourier space, and the method could be well applied to the several concrete models in order to get the (almost) optimal decay estimates of solutions.
|
