Abstract
We pose and solve the asymptotic Dirichlet problem for the Schrödinger operator via rough isometrics 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.
Original language | English |
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Pages (from-to) | 3411-3420 |
Number of pages | 10 |
Journal | Proceedings of the American Mathematical Society |
Volume | 133 |
Issue number | 11 |
DOIs | |
State | Published - Nov 2005 |
Keywords
- Asymptotic Dirichlet problem
- Rough isometry
- Schrödinger operator