Agmon estimates for the difference of exact and approximate Dirichlet eigenfunctions for difference operators
- We analyze a general class of difference operators H-epsilon = T-epsilon + V-epsilon on l(2)(((epsilon)Z)(d)), where V-epsilon is a multi-well potential and epsilon is a small parameter. We construct approximate eigenfunctions in neighbourhoods of the different wells and give weighted l(2)-estimates for the difference of these and the exact eigenfunctions of the associated Dirichlet-operators.
| Author details: | Markus KleinGND, Elke RosenbergerORCiD |
|---|---|
| DOI: | https://doi.org/10.3233/ASY-151343 |
| ISSN: | 0921-7134 |
| ISSN: | 1875-8576 |
| Title of parent work (English): | Asymptotic analysis |
| Publisher: | IOS Press |
| Place of publishing: | Amsterdam |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2016 |
| Publication year: | 2016 |
| Release date: | 2020/03/22 |
| Volume: | 97 |
| Number of pages: | 29 |
| First page: | 61 |
| Last Page: | 89 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
