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Unique continuation for the Schrödinger equation with gradient vector potentials |
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| Authors: | Hongjie Dong Wolfgang Staubach |
| Institution: | School of Mathematics, Institute for Advanced Study, 1~Einstein Drive, Princeton, New Jersey 08540 ; Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637 |
| Abstract: | We obtain unique continuation results for Schrödinger equations with time dependent gradient vector potentials. This result with an appropriate modification also yields unique continuation properties for solutions of certain nonlinear Schrödinger equations. |
| Keywords: | Carleman inequalities uniqueness of solutions |
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