Unique continuation for Schrödinger operators with potential in Morrey spaces.

Alberto Ruiz; Luis Vega

Publicacions Matemàtiques (1991)

  • Volume: 35, Issue: 1, page 291-298
  • ISSN: 0214-1493

Abstract

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Let us consider in a domain Ω of Rn solutions of the differential inequality|Δu(x)| ≤ V(x)|u(x)|, x ∈ Ω,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 Ω if it vanishes on an open subset of Ω.

How to cite

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Ruiz, Alberto, and Vega, Luis. "Unique continuation for Schrödinger operators with potential in Morrey spaces.." Publicacions Matemàtiques 35.1 (1991): 291-298. <http://eudml.org/doc/41691>.

@article{Ruiz1991,
abstract = {Let us consider in a domain Ω of Rn solutions of the differential inequality|Δu(x)| ≤ V(x)|u(x)|, x ∈ Ω,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 Ω if it vanishes on an open subset of Ω.},
author = {Ruiz, Alberto, Vega, Luis},
journal = {Publicacions Matemàtiques},
keywords = {Schrödinger operators with potential in Morrey spaces; Carleman estimate},
language = {eng},
number = {1},
pages = {291-298},
title = {Unique continuation for Schrödinger operators with potential in Morrey spaces.},
url = {http://eudml.org/doc/41691},
volume = {35},
year = {1991},
}

TY - JOUR
AU - Ruiz, Alberto
AU - Vega, Luis
TI - Unique continuation for Schrödinger operators with potential in Morrey spaces.
JO - Publicacions Matemàtiques
PY - 1991
VL - 35
IS - 1
SP - 291
EP - 298
AB - Let us consider in a domain Ω of Rn solutions of the differential inequality|Δu(x)| ≤ V(x)|u(x)|, x ∈ Ω,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 Ω if it vanishes on an open subset of Ω.
LA - eng
KW - Schrödinger operators with potential in Morrey spaces; Carleman estimate
UR - http://eudml.org/doc/41691
ER -

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