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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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Stability in the Gromov-Shubin index theorem
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by Lih-chung Wang PDF
Proc. Amer. Math. Soc. 125 (1997), 1399-1405 Request permission

Abstract:

We investigate the upper semicontinuity of the dimension of the solution space for an elliptic equation with conditions on a compact nowhere dense set.
References
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  • Michael Gromov and Mikhail A. Shubin, The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets, Invent. Math. 117 (1994), no. 1, 165–180. MR 1269429, DOI 10.1007/BF01232238
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Additional Information
  • Lih-chung Wang
  • Affiliation: Department of Mathematical Sciences, University of Durham, Science Laboratories, South Road, Durham, DH1 3LE, England
  • Address at time of publication: Department of Mathematics, University of California, Riverside, California 92521
  • Email: Lih-Chung.Wang@durham.ac.uk, lwang@math.ucr.edu
  • Received by editor(s): September 19, 1995
  • Received by editor(s) in revised form: November 14, 1995
  • Communicated by: Palle E. T. Jorgensen
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 1399-1405
  • MSC (1991): Primary 46E99, 58G10
  • DOI: https://doi.org/10.1090/S0002-9939-97-03719-2
  • MathSciNet review: 1363439