Lp-theory of boundary integral equations on a contour with outward peak |
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| Authors: | V. Maz'ya A. Soloviev |
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| Affiliation: | (1) Department of Mathematics, Linköping University, S-581 83 Linköping, Sweden;(2) Department of Mathematics, Chelyabinsk State University, 454016 Chelyabinsk, Russia |
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| Abstract: | A boundary integral equations of the second kind in the logarithmic potential theory are studied under the assumption that the contour has a peak. For each equation we find a pair of function spaces such that the corresponding operator map one of them onto another. We describe also the kernels of the operators and find a condition for the triviality of these kernels. |
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| Keywords: | 31A10 45A05 |
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