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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A unique continuation theorem for the Schrödinger equation with singular magnetic field
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by Kazuhiro Kurata
Proc. Amer. Math. Soc. 125 (1997), 853-860
DOI: https://doi.org/10.1090/S0002-9939-97-03672-1

Abstract:

We show a unique continuation theorem for the Schrödinger equation $(\frac {1}{i}\nabla -\mathbf {A})^2 u+ Vu=0$ with singular coefficients $\mathbf {A}$ and $V$.
References
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Bibliographic Information
  • Kazuhiro Kurata
  • Affiliation: Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa 1-1, Hachioji-shi, Tokyo, 192-03 Japan
  • Email: kurata@math.metro-u.ac.jp
  • Received by editor(s): April 3, 1995
  • Received by editor(s) in revised form: October 3, 1995
  • Communicated by: Christopher D. Sogge
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 853-860
  • MSC (1991): Primary 35B60, 35J10, 35Q60
  • DOI: https://doi.org/10.1090/S0002-9939-97-03672-1
  • MathSciNet review: 1363173