2013 Fiscal Year Final Research Report
Hyperbolic operators with double characteristics, Hamilton map and Hamilton flow
| Project/Area Number |
23540199
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Osaka University |
|---|
Principal Investigator |
NISHITANI Tatsuo 大阪大学, 理学(系)研究科(研究院), 教授 (80127117)
|
|---|
| Project Period (FY) |
2011 – 2013
|
| Keywords | hyperbolic operator / Cauchy problem / Hamilton map / bicharacteristic / well-posedness / effectively hyperbolic / Hamilton flow |
|---|
| Research Abstract |
Much progress has been achieved on the well-posedness of the Cauchy problem for linear hyperbolic operators with double characteristics. In particular in several transition cases from effectively hyperbolic to noneffectively hyperbolic, the relations between the spectral properties of the Hamilton map and the well-posedness conditions are clarified. I have published many such obtained results and also presented such results in several international meetings.
|
