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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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On a positivity preservation property for Schrödinger operators on Riemannian manifolds
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by Ognjen Milatovic PDF
Proc. Amer. Math. Soc. 144 (2016), 301-313 Request permission

Abstract:

We study a positivity preservation property for Schrödinger operators with singular potential on geodesically complete Riemannian manifolds with non-negative Ricci curvature. We apply this property to the question of self-adjointness of the maximal realization of the corresponding operator.
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Additional Information
  • Ognjen Milatovic
  • Affiliation: Department of Mathematics and Statistics, University of North Florida, Jacksonville, Florida 32224
  • MR Author ID: 705360
  • Email: omilatov@unf.edu
  • Received by editor(s): November 16, 2014
  • Received by editor(s) in revised form: December 21, 2014
  • Published electronically: May 28, 2015
  • Communicated by: Varghese Mathai
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 144 (2016), 301-313
  • MSC (2010): Primary 47B25, 58J50; Secondary 35P05, 60H30
  • DOI: https://doi.org/10.1090/proc/12701
  • MathSciNet review: 3415597