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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Strong unique continuation for products of elliptic operators of second order
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by Ferruccio Colombini and Herbert Koch PDF
Trans. Amer. Math. Soc. 362 (2010), 345-355 Request permission

Abstract:

We study strong unique continuation for products of elliptic operators. The main tools are Carleman inequalities for second order elliptic operators. We obtain strong unique continuation assuming either Gevrey regularity of the coefficients or some pointwise conditions on the coefficients.
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Additional Information
  • Ferruccio Colombini
  • Affiliation: Department of Mathematics, University of Pisa, Via F Buonarroti 2, 56127 Pisa, Italy
  • Herbert Koch
  • Affiliation: Mathematisches Institut, University of Bonn, Beringstrasse 1, 53115 Bonn, Germany
  • MR Author ID: 340038
  • Received by editor(s): September 21, 2007
  • Received by editor(s) in revised form: January 15, 2008
  • Published electronically: August 17, 2009
  • © Copyright 2009 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 362 (2010), 345-355
  • MSC (2000): Primary 35B60
  • DOI: https://doi.org/10.1090/S0002-9947-09-04799-0
  • MathSciNet review: 2550154