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JOURNALS // Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika // Archive

Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2019 Number 62, Pages 38–54 (Mi vtgu742)

This article is cited in 5 papers

MATHEMATICS

On the derivative of the double-layer logarithmic potential

E. H. Khalilov, M. N. Bakhshaliyeva

Azerbaijan State Oil and Industry University, Baku, Azerbaijan

Abstract: A formula is given for calculating the derivative of the logarithmic potential of a double layer and some basic properties of the operator generated by the derivative of the logarithmic potential of a double layer in generalized Hölder spaces are studied.

Keywords: Laplace equations, Lyapunov curve, derivative of the double-layer logarithmic potential, curvilinear singular integral, generalized Hölder spaces.

UDC: 517.2; 519.64

MSC: 45E05, 31B10

Received: 07.03.2019

DOI: 10.17223/19988621/62/4



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