Unique continuation for the magnetic Schrödinger operator with singular potentials
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- by Naiara Arrizabalaga and Miren Zubeldia PDF
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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.References
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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