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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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Estimates of derivatives of the heat kernel on a compact Riemannian manifold
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by Elton P. Hsu PDF
Proc. Amer. Math. Soc. 127 (1999), 3739-3744 Request permission

Abstract:

We give global estimates on the covariant derivatives of the heat kernel on a compact Riemannian manifold on a fixed finite time interval. The proof is based on analyzing the behavior of the heat kernel along Riemannian Brownian bridge.
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Additional Information
  • Elton P. Hsu
  • Email: elton@math.nwu.edu
  • Published electronically: May 13, 1999
  • Additional Notes: The research was supported in part by NSF grant 9406888-DMS
  • Communicated by: Stanley Sawyer
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 3739-3744
  • MSC (1991): Primary 58G32; Secondary 60J60
  • DOI: https://doi.org/10.1090/S0002-9939-99-04967-9
  • MathSciNet review: 1618694