A study on the generalized spectral theory and its applications to evolution equations
Project/Area Number |
25800081
|
Research Category |
Grant-in-Aid for Young Scientists (B)
|
Allocation Type | Multi-year Fund |
Research Field |
Mathematical analysis
|
Research Institution | Kyushu University |
Principal Investigator |
Chiba Hayato 九州大学, マス・フォア・インダストリ研究所, 准教授 (70571793)
|
Project Period (FY) |
2013-04-01 – 2017-03-31
|
Project Status |
Completed (Fiscal Year 2016)
|
Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2016: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2015: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2014: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
|
Keywords | スペクトル理論 / 蔵本モデル / 一般化スペクトル理論 / 一般化スペクトル |
Outline of Final Research Achievements |
In this project, the generalized spectral theory, which is a generalization of the standard spectral theory, is developed. By using this theory, we can estimate an asymptotic behavior of solutions of evolution equations whose linear part has a continuous spectrum. This theory is applied to the Kuramoto model and the Schrodinger equation. In particular, for the Kuramoto model, the Kuramoto conjecture is proved.
|
Report
(5 results)
Research Products
(11 results)