Unique continuation for Schröldinger operators with potential in Morrey spaces

  1. Ruiz González, Alberto
  2. Vega González, Luis
Journal:
Publicacions matematiques

ISSN: 0214-1493

Year of publication: 1991

Volume: 35

Issue: 1

Pages: 291-298

Type: Article

DOI: 10.5565/PUBLMAT_35191_15 DIALNET GOOGLE SCHOLAR lock_openDDD editor

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Abstract

Let us consider in a domain O of Rn solutions of the differential inequality |?u(x)| = V(x)|u(x)|, x Î O, where V is a non smooth, positive potential. We are interested in global unique continuation properties. That means that u must be identically zero on O if it vanishes on an open subset of O.