Zeitschrift für Analysis und ihre Anwendungen
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Published online: 1998-09-30
$L_p$-Theory of Boundary Integral Equations on a Contour with Inward PeakVladimir G. Maz'ya and A. Soloviev (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