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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Unique continuation for the magnetic Schrödinger operator with singular potentials
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by Naiara Arrizabalaga and Miren Zubeldia PDF
Proc. Amer. Math. Soc. 143 (2015), 3487-3503 Request permission

Abstract:

In this paper we study unique continuation theorems for the magnetic Schrödinger equation via Carleman estimates. We use integration by parts techniques in order to show these estimates. We consider electric and magnetic potentials with strong singularities at the origin and some decay at infinity.
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Additional Information
  • Naiara Arrizabalaga
  • Affiliation: Departamento de Matemáticas, Universidad del País Vasco, UPV/EHU, Apartado 644, 48080, Bilbao, Spain.
  • MR Author ID: 955726
  • Email: naiara.arrizabalaga@ehu.es
  • Miren Zubeldia
  • Affiliation: Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, FI00014, Helsinki, Finland
  • MR Author ID: 990809
  • Email: miren.zubeldia@helsinki.fi
  • Received by editor(s): December 19, 2013
  • Published electronically: April 2, 2015
  • Communicated by: Joachim Krieger
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 3487-3503
  • MSC (2010): Primary 35B60, 35J10, 35Q60
  • DOI: https://doi.org/10.1090/S0002-9939-2015-12728-1
  • MathSciNet review: 3348791