Strong unique continuation property of two-dimensional Dirac equations with Aharonov-Bohm fields

We study the unique continuation property of two-dimensional Dirac equations with Aharonov-Bohm fields. Some results for the unperturbed Dirac operator are given by De Carli-\={O}kaji [2]. We are interested in the problem how the singularity of Aharonov-Bohm fields at the origin influences the uniqu...

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Bibliographic Details
Published in:Proceedings of the Japan Academy. Series A. Mathematical sciences 2003-11, Vol.79 (9), p.158-161
Main Authors: IKOMA, Makoto, YAMADA, Osanobu
Format: Article
Language:English
Subjects:
35B60
Aharonov-Bohm effect
Dirac operator
Exact sciences and technology
General mathematics
General, history and biography
Mathematics
Sciences and techniques of general use
unique continuation
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Summary:We study the unique continuation property of two-dimensional Dirac equations with Aharonov-Bohm fields. Some results for the unperturbed Dirac operator are given by De Carli-\={O}kaji [2]. We are interested in the problem how the singularity of Aharonov-Bohm fields at the origin influences the unique continuation property.
ISSN:0386-2194
DOI:10.3792/pjaa.79.158