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Carleman Estimates for the Schr(o)dinger Equation and Applications to an Inverse Problem and an Observability Inequality |
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| Authors: | Ganghua YUAN Masahiro YAMAMOTO |
| Institution: | 1. School of Mathematics and Statistics,Northeast Normal University,Changchun 130024,China 2. Graduate School of Mathematical Sciences,The University of Tokyo,3-8-1 Komaba,Meguro,Tokyo 153,Japan |
| Abstract: | The authors prove Carleman estimates for the Schr(o)dinger equation in Sobolev spaces of negative orders,and use these estimates to prove the uniqueness in the inverse problem of determining Lp-potentials.An L2-1evel observability inequality and unique continuation results for the Schr(o)dinger equation are also obtained. |
| Keywords: | Schr(o)dinger equation Carleman estimate Observability inequality Inverse problem Unique continuation |
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