Asymptotic Dirichlet problem for the Schrödinger operator via rough isometry
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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.References
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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