On the Treatment of a Dirichlet–Neumann Mixed Boundary Value Problem for Harmonic Functions by an Integral Equation Method

Using an approach which extends the well-known classical integral equation methods, we reduce a mixed boundary value problem for harmonic functions to a system consisting of two integral equations of the second kind. Existence is proved by the Fredholm alternative for compact operators. The integral...

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Bibliographic Details
Published in:SIAM journal on mathematical analysis Vol. 8; no. 3; pp. 504 - 517
Main Authors: González, R., Kress, R.
Format: Journal Article
Language:English
Published: Philadelphia Society for Industrial and Applied Mathematics 01.05.1977
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ISSN:0036-1410, 1095-7154
Online Access:Get full text
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