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Regularity for eigenfunctions of Schrödinger operators
Ammann, Bernd, Carvalho, Catarina and Nistor, Victor (2010) Regularity for eigenfunctions of Schrödinger operators. Preprintreihe der Fakultät Mathematik 17/2010, Working Paper. (Unpublished)Date of publication of this fulltext: 13 Apr 2011 03:46
Monograph
DOI to cite this document: 10.5283/epub.20485
Abstract
We prove a regularity result in weighted Sobolev (or Babuˇska–Kondratiev) spaces for the eigenfunctions of a single-nucleus Schr¨odinger operator. More precisely,
let Km a (R3N) be the weighted Sobolev space obtained by blowing up the set of singular points of the potential V (x) =
Σ 1jN bj jxj j + Σ 1i<jN cij jxi
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Details
| Item type | Monograph (Working Paper) |
| Series of the University of Regensburg: | Preprintreihe der Fakultät Mathematik |
|---|---|
| Volume: | 17/2010 |
| Date | 2010 |
| Institutions | Mathematics > Prof. Dr. Bernd Ammann |
| Dewey Decimal Classification | 500 Science > 510 Mathematics |
| Status | Unpublished |
| Refereed | No, this version has not been refereed yet (as with preprints) |
| Created at the University of Regensburg | Yes |
| URN of the UB Regensburg | urn:nbn:de:bvb:355-epub-204858 |
| Item ID | 20485 |
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