On well-posedness of the Cauchy problem to Schrodinger maps in the energy space
| Project/Area Number |
20740073
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Basic analysis
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| Research Institution | Nagoya University |
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Principal Investigator |
KATO Jun 名古屋大学, 多元数理科学研究科, 准教授 (00432237)
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| Project Period (FY) |
2008 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Keywords | 関数方程式 / 調和写像分散流 / シュレディンガー写像 / ストリッカーツ評価 / 非線型偏微分方程式論 / シュレディンガー方程式 / 関数方程式論 / 実関数論 / 数理物理 / 磁性 |
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| Research Abstract |
We consider the well-posedness of the Cauchy problem to Schrodinger maps. In the process of study, we proved endpoint Strichartz estimates for the Schrodinger and Klein-Gordon equation adding angular regularity.
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Report
(6 results)
Research Products
(25 results)
