On the asymptotics of the density of harmonic potentials close to the vertex of a cone (Q915969)
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scientific article; zbMATH DE number 4152971
| Language | Label | Description | Also known as |
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| English | On the asymptotics of the density of harmonic potentials close to the vertex of a cone |
scientific article; zbMATH DE number 4152971 |
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On the asymptotics of the density of harmonic potentials close to the vertex of a cone (English)
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1989
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This paper deals with boundary integral equations of the method of potentials for the Laplace differential equation in a domain containing a conic point. For the density of a double layer (single layer) potential in the case of Dirichlet's (Neumann's) problem the asymptotic expansion in a neighbourhood of the conic point is derived. The corresponding coefficients of this expansion are calculated.
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Dirichlet problem
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Neumann problem
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boundary integral equations
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conic point
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