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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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Liouville theorems for the ancient solution of heat flows
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by Meng Wang PDF
Proc. Amer. Math. Soc. 139 (2011), 3491-3496 Request permission

Abstract:

Let $M$ be a complete Riemannian manifold with Ricci curvature bounded from below: $Ric(M)\ge -\kappa$. Let $N$ be a simply connected complete Riemannian manifold with nonpositive sectional curvature. Using a gradient estimate, we prove Liouville’s theorem for the ancient solution of heat flows.
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Additional Information
  • Meng Wang
  • Affiliation: Department of Mathematics, Zhejiang University, Hangzhou, 310027, People’s Republic of China
  • Email: mathdreamcn@zju.edu.cn
  • Received by editor(s): August 18, 2010
  • Published electronically: May 24, 2011
  • Additional Notes: The author’s research was partially supported by NSFC 10701064, 10931001
  • Communicated by: Michael T. Lacey
  • © Copyright 2011 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 139 (2011), 3491-3496
  • MSC (2010): Primary 35K05, 58J35
  • DOI: https://doi.org/10.1090/S0002-9939-2011-11170-5
  • MathSciNet review: 2813381