On the study of the lifespan for nonlinear hyperbolic systems
| Project/Area Number |
20540202
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Global analysis
|
|---|
| Research Institution | University of Tsukuba |
|---|
Principal Investigator |
|
|---|
| Co-Investigator(Kenkyū-buntansha) |
KAJITANI Kunihiko 筑波大学, 名誉教授 (00026262)
ISHIWATA Satoshi 筑波大学, 数理物質系, 助教 (70375393)
|
|---|
| Co-Investigator(Renkei-kenkyūsha) |
HIROSAWA Fumihiko 山口大学, 大学院・理工学研究科, 准教授 (50364732)
|
|---|
| Project Period (FY) |
2008 – 2011
|
| Project Status |
Completed (Fiscal Year 2011)
|
| 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)
|
|---|
| Keywords | 関数方程式論 / 双曲型システム / ライフスパン |
|---|
| 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 ).
|
Report
(6 results)
Research Products
(32 results)
