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

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A note on the generalized dumbbell problem
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by Colette Anné
Proc. Amer. Math. Soc. 123 (1995), 2595-2599
DOI: https://doi.org/10.1090/S0002-9939-1995-1257096-5

Abstract:

This note is devoted to the calculation of the asymptotics of the small eigenvalues and corresponding eigenfunctions for the Laplace operator with Neumann boundary conditions on a domain obtained by adding several thin channels between given bounded domains.
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Bibliographic Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 2595-2599
  • MSC: Primary 58G18; Secondary 35J05, 35P15, 58G25
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1257096-5
  • MathSciNet review: 1257096