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Asymptotic Dirichlet problem for the Schrödinger operator via rough isometry
Author(s):
Yong
Hah
Lee
Journal:
Proc. Amer. Math. Soc.
133
(2005),
3411-3420.
MSC (2000):
Primary 58J05;
Secondary 35J10
Posted:
June 20, 2005
MathSciNet review:
2161167
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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.
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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
DOI:
10.1090/S0002-9939-05-08265-1
PII:
S 0002-9939(05)08265-1
Keywords:
Asymptotic Dirichlet problem,
Schr\"odinger operator,
rough isometry
Received by editor(s):
September 25, 2001
Posted:
June 20, 2005
Additional Notes:
This work was supported by Korea Research Foundation Grant (KRF-2002-070-C00010)
Communicated by:
Bennett Chow
Copyright of article:
Copyright
2005,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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