Boundary integral equations of the second kind in the logarithmic potential theory - are studied under the assumption that the contour has an inward peak. For each equation we find a pair of function spaces such that the corresponding operator bijectively maps one of them onto another.
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Vladimir G. Maz'ya, A. Soloviev, -Theory of Boundary Integral Equations on a Contour with Inward Peak. Z. Anal. Anwend. 17 (1998), no. 3, pp. 641–673DOI 10.4171/ZAA/843