2010 Fiscal Year Final Research Report
On study of evolution equations with hyperbolic properties
| Project/Area Number |
19340030
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| Research Category |
Grant-in-Aid for Scientific Research (B)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Basic analysis
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| Research Institution | Osaka University |
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Principal Investigator |
HAYASHI Nakao 大阪大学, 大学院・理学研究科, 教授 (30173016)
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| Co-Investigator(Kenkyū-buntansha) |
NISHITANI Tatsuo 大阪大学, 大学院・理学研究科, 教授 (80127117)
DOI Shinichi 大阪大学, 大学院・理学研究科, 教授 (00243006)
KUBO Hideo 大阪大学, 大学院・理学研究科, 准教授 (50283346)
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| Project Period (FY) |
2007 – 2010
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| Keywords | 関数方程式 |
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| Research Abstract |
We studied nonlinear Schrodinger equations, nonlinear Klein-Gordon equations and their systems. Time decay and asymptotic behavior of solutions were shown. We applied these results to show existence of wave or modified wave operators. In the case of critical nonlinearities, it was shown that main terms of solutions can be represented through nonlinearities clearly.
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Research Products
(40 results)
