2013 Fiscal Year Final Research Report
Dispersion for the Kirchhoff equation
| Project/Area Number |
21540198
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Single-year Grants |
|---|
| Section | 一般 |
|---|
| Research Field |
Basic analysis
|
|---|
| Research Institution | Chuo University (2011-2013)
Tokai University (2009-2010) |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2009-04-01 – 2014-03-31
|
| Keywords | Kirchhoff 方程式 / 分散型評価 / 外部問題 |
|---|
| Research Abstract |
In this project we obtained representation formula and dispersive estimates for linear hyperbolic equations via asymptotic integrations method, which was published from C. R. Acad. Sci. Paris and Adv. Differential Equation. There is another result; global existence of solutions for the Kirchhoff equation in exterior domains, and Kirchhoff systems with small data. These results were published from J. Math. Soc. Japan and J. Math. Pures Appl., respectively. Most of this project were done by the joint work with M. Ruzhansky.
|
