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Zeitschrift für Analysis und ihre Anwendungen


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Volume 17, Issue 3, 1998, pp. 641–673
DOI: 10.4171/ZAA/843

Published online: 1998-09-30

$L_p$-Theory of Boundary Integral Equations on a Contour with Inward Peak

Vladimir G. Maz'ya[1] and A. Soloviev[2]

(1) Linköping University, Sweden
(2) Chelyabinsk State University, Russian Federation

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.

Keywords: Boundary integral equations, logarithmic potential, asymptotics of solution

Maz'ya Vladimir, Soloviev A.: $L_p$-Theory of Boundary Integral Equations on a Contour with Inward Peak. Z. Anal. Anwend. 17 (1998), 641-673. doi: 10.4171/ZAA/843