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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

A note on unique continuation for Schrödinger's operator


Authors: Carlos E. Kenig and Christopher D. Sogge
Journal: Proc. Amer. Math. Soc. 103 (1988), 543-546
MSC: Primary 35J10; Secondary 35B45
MathSciNet review: 943081
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Abstract: In this paper we shall prove a unique continuation theorem for Schrödinger's operator, $ i\partial /\partial t - \Delta $. This will be a consequence of "uniform Sobolev inequalities" for operators which are the Schrödinger operator plus lower order terms in $ x$.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1988-0943081-3
PII: S 0002-9939(1988)0943081-3
Keywords: Sobolev inequalities, unique continuation, restriction theorems
Article copyright: © Copyright 1988 American Mathematical Society