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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Unique continuation for second-order parabolic operators at the initial time
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by Paolo Albano and Daniel Tataru PDF
Proc. Amer. Math. Soc. 132 (2004), 1077-1085 Request permission

Abstract:

We consider second-order parabolic equations with time independent coefficients. Under reasonable assumptions, it is known that the fundamental solution satisfies certain Gaussian bounds related to the associated geodesic distance. In this article we prove a sharp unique continuation property at the initial time which matches exactly the above-mentioned kernel bounds.
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Additional Information
  • Paolo Albano
  • Affiliation: Dipartimento di Matematica, Università di Bologna, 40127 Bologna, Italy
  • Email: albano@dm.unibo.it
  • Daniel Tataru
  • Affiliation: Department of Mathematics, University of California Berkeley, Berkeley, California 94720
  • MR Author ID: 267163
  • Email: tataru@math.berkeley.edu
  • Received by editor(s): November 19, 2002
  • Published electronically: September 18, 2003
  • Additional Notes: The second author was supported in part by NSF grant DMS 9970297
  • Communicated by: David S. Tartakoff
  • © Copyright 2003 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 132 (2004), 1077-1085
  • MSC (2000): Primary 35K10, 35B60
  • DOI: https://doi.org/10.1090/S0002-9939-03-07227-7
  • MathSciNet review: 2045423