On solvability of boundary integral equations of potential theory for a multidimensional cusp domain |
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| Authors: | V. Maz’ya S. Poborchi |
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| Affiliation: | 1.Department of Mathematical Sciences, M&O Building,University of Liverpool,Liverpool,UK;2.Department of Mathematics,Link?ping University,Link?ping,Sweden;3.St. Petersburg State University,St. Petersburg,Russia |
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| Abstract: | The Dirichlet and the Neumann problems for the Laplace equation on a multidimensional cusp domain are considered. The unique solvability of the boundary integral equation for the internal Dirichlet problem for harmonic double layer potential is established. We also prove the unique solvability of the boundary integral equation for the external Neumann problem for harmonic single layer potential. Bibliography: 13 titles. |
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