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Three-dimensional analog of the Cauchy type integral

Three-dimensional analog of the Cauchy type integral On a smooth closed surface, we consider integrals of the Cauchy type with kernel depending on the difference of arguments. They cover both double-layer potentials for second-order elliptic equations and generalized integrals of the Cauchy type for first-order elliptic systems. For the functions described by such integrals, we find sufficient conditions providing their continuity up to the boundary surface. We obtain the corresponding formulas for their limit values. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Three-dimensional analog of the Cauchy type integral

Differential Equations , Volume 47 (3) – May 5, 2011

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References (6)

Publisher
Springer Journals
Copyright
Copyright © 2011 by Pleiades Publishing, Ltd.
Subject
Mathematics; Partial Differential Equations; Ordinary Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266111030074
Publisher site
See Article on Publisher Site

Abstract

On a smooth closed surface, we consider integrals of the Cauchy type with kernel depending on the difference of arguments. They cover both double-layer potentials for second-order elliptic equations and generalized integrals of the Cauchy type for first-order elliptic systems. For the functions described by such integrals, we find sufficient conditions providing their continuity up to the boundary surface. We obtain the corresponding formulas for their limit values.

Journal

Differential EquationsSpringer Journals

Published: May 5, 2011

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