Proceedings of the American Mathematical Society

Unique continuation for the Schrödinger equation with gradient vector potentials

Author(s): Hongjie Dong; Wolfgang Staubach
Journal: Proc. Amer. Math. Soc. 135 (2007), 2141-2149.
MSC (2000): Primary 35B37
Posted: March 2, 2007
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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.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 35B37

Hongjie Dong
Affiliation: School of Mathematics, Institute for Advanced Study, 1~Einstein Drive, Princeton, New Jersey 08540
Email: hjdong@ias.edu

Wolfgang Staubach
Affiliation: Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, Illinois 60637
Email: wolf@math.uchicago.edu

DOI: 10.1090/S0002-9939-07-08813-2
PII: S 0002-9939(07)08813-2
Keywords: Carleman inequalities; uniqueness of solutions.
Received by editor(s): March 18, 2006
Posted: March 2, 2007
Communicated by: David S. Tartakoff
Copyright of article: Copyright 2007, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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ISSN 1088-6826 (e) ISSN 0002-9939 (p)

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