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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 (Unpublished)

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Date of publication of this fulltext: 13 Apr 2011 03:46


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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Item type:Monograph (Working Paper)
Series of the University of Regensburg:Preprintreihe der Fakultät Mathematik
Institutions:Mathematics > Prof. Dr. Bernd Ammann
Dewey Decimal Classification:500 Science > 510 Mathematics
Refereed:No, this version has not been refereed yet (as with preprints)
Created at the University of Regensburg:Yes
Item ID:20485
Owner only: item control page


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