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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 |
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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 |