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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality 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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A unique continuation theorem for the Schrödinger equation with singular magnetic field
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by Kazuhiro Kurata PDF
Proc. Amer. Math. Soc. 125 (1997), 853-860 Request permission

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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Additional 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