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