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 |
|---|---|
| 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