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Generalized double layer potentials

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Abstract

Generalized double layer potentials are considered. Their boundary properties on a plane are studied. Conditions when such potentials are continuously extended onto the boundary of the domain are obtained. A formula for limit values of such potentials is also obtained.

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119991, Russia

    T. A. Soldatova

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  1. T. A. Soldatova
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Original Russian Text © T.A. Soldatova, 2009, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2009, Vol. 64, No. 6, pp. 8–17.

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Soldatova, T.A. Generalized double layer potentials. Moscow Univ. Math. Bull. 64, 235–243 (2009). https://doi.org/10.3103/S0027132209060023

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  • DOI: https://doi.org/10.3103/S0027132209060023

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