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Regularity for eigenfunctions of Schrödinger operators

Ammann, Bernd and Carvalho, Catarina and Nistor, Victor (2010) Regularity for eigenfunctions of Schrödinger operators. Preprintreihe der Fakultät Mathematik 17/2010, Working Paper. (Unpublished)

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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

Item Type:Monograph (Working Paper)
Institutions: Mathematics > Prof. Dr. Bernd Ammann
Subjects: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Status:Unpublished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
Owner:Universitätsbibliothek Regensburg
Deposited On:13 Apr 2011 05:46
Last Modified:06 Sep 2011 10:14
Item ID:20485
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