| Carleman Estimates for the Schrdinger Equation and Applications to an Inverse Problem and an Observability Inequality |
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| 作者姓名： | Ganghua YUAN Masahiro YAMAMOTO |
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| 作者单位： | Ganghua YUAN(School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China);Masahiro YAMAMOTO(Graduate School of Mathematical Sciences,The University of Tokyo,3-8-1 Komaba,Meguro,Tokyo 153,Japan) |
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| 基金项目： | the National Natural Science Foundation of China,the Science Foundation for Young Teachers of Northeast Normal University,the Japan Society for the Promotion of Science,the Grant from the Ministry of Education |
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| 摘 要： | The authors prove Carleman estimates for the Schrdinger equation in Sobolev spaces of negative orders, and use these estimates to prove the uniqueness in the inverse problem of determining Lp-potentials. An L2-level observability inequality and unique continuation results for the Schrdinger equation are also obtained.
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| 关 键 词： | 薛定谔方程 m估计 应用程序 观测 不等式 逆问题 索伯列夫 证明 |
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