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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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Mean boundary value problems for a class of elliptic equations in $E^{3}$
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by Peter A. McCoy PDF
Proc. Amer. Math. Soc. 76 (1979), 123-128 Request permission

Abstract:

An interior Dirichlet problem for generalized axisymmetric potentials is solved constructively by means of a Riemann series expansion determined from the arithmetic means of the boundary values. The problem is generalized to a class of axisymmetric elliptic partial differential equations in ${E^3}$. The Bergman and Gilbert integral operator method is used along with the method of ascent.
References
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Additional Information
  • © Copyright 1979 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 76 (1979), 123-128
  • MSC: Primary 35C10; Secondary 35J99
  • DOI: https://doi.org/10.1090/S0002-9939-1979-0534401-7
  • MathSciNet review: 534401