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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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Asymptotic Dirichlet problem for the Schrödinger operator via rough isometry
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by Yong Hah Lee PDF
Proc. Amer. Math. Soc. 133 (2005), 3411-3420 Request permission

Abstract:

We pose and solve the asymptotic Dirichlet problem for the Schrödinger operator via rough isometries on a certain class of Riemannian manifolds. With suitable potentials, we give the solvability of the problem for a naturally defined class of data functions.
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Additional Information
  • Yong Hah Lee
  • Affiliation: Department of Mathematics Education, Ewha Womans University, Seoul 120-750, Korea
  • Email: yonghah@ewha.ac.kr
  • Received by editor(s): September 25, 2001
  • Published electronically: June 20, 2005
  • Additional Notes: This work was supported by Korea Research Foundation Grant (KRF-2002-070-C00010)
  • Communicated by: Bennett Chow
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 3411-3420
  • MSC (2000): Primary 58J05; Secondary 35J10
  • DOI: https://doi.org/10.1090/S0002-9939-05-08265-1
  • MathSciNet review: 2161167