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Regularity for eigenfunctions of Schrödinger operators

URN to cite this document:
urn:nbn:de:bvb:355-epub-204858
Ammann, Bernd ; Carvalho, Catarina ; Nistor, Victor
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Date of publication of this fulltext: 13 Apr 2011 03:46


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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