2010 Fiscal Year Final Research Report
On a spectral theory for operators with dissipative terms
| Project/Area Number |
20540187
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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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 | Gakushuin University |
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Principal Investigator |
WATANABE Kazuo Gakushuin University, 理学部, 助教 (90260851)
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| Co-Investigator(Kenkyū-buntansha) |
門脇 光輝 愛媛大, 理工学研究科, 教授 (70300548)
中澤 秀夫 千葉工業大学, 工学部, 准教授 (80383371)
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| Project Period (FY) |
2008 – 2010
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| Keywords | 非自己共役 / 消散項 / スペクトル理論 |
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| Research Abstract |
Kadowaki, Nakazawa and Watanabe have studied for the properties of the wave operators with dissipative terms. In the case of the short range perturbations, we proved the existence of the wave operators. In the case of the long range perturbations, the energy of all solutions decays at infinity. The results appeared in Electric Journal of Differential Equation (April 2011). Watanabe studied the interface regularity of the solution for : the rotation system, the self-interactive system (MHD).
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