2016 Fiscal Year Final Research Report
A study on the generalized spectral theory and its applications to evolution equations
Project/Area Number |
25800081
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Research Category |
Grant-in-Aid for Young Scientists (B)
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Allocation Type | Multi-year Fund |
Research Field |
Mathematical analysis
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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)
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Project Period (FY) |
2013-04-01 – 2017-03-31
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Keywords | スペクトル理論 / 蔵本モデル |
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.
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Free Research Field |
力学系理論
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