2013 Fiscal Year Final Research Report
Studies on a unified point of view on global theories of nonlinear elliptic equations
| Project/Area Number |
21244010
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| Research Category |
Grant-in-Aid for Scientific Research (A)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Global analysis
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| Research Institution | Waseda University |
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Principal Investigator |
OZAWA Tohru 早稲田大学, 理工学術院, 教授 (70204196)
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| Co-Investigator(Kenkyū-buntansha) |
KOIKE Shigeaki 東北大学, 理学研究科, 教授 (90205295)
TANAKA Kazunaga 早稲田大学, 理工学術院, 教授 (20188288)
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| Project Period (FY) |
2009-04-01 – 2014-03-31
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| Keywords | 関数方程式の大域理論 / 非線型偏微分方程式 |
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| Research Abstract |
We studied nonlinear elliptic equations arising in various fields of mathematical physics by means of variational analysis, ordinary differential equations, and viscosity techniques. We studied orbital stability of standing waves, explicit blow-up solutions, and exponential decay of ground states for systems of nonlinear Schr\"odinger type equations.
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