Asymptotics of the solution of an integral equation to transmission problems with singular perturbed boundary (Q1924308)
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scientific article; zbMATH DE number 935177
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotics of the solution of an integral equation to transmission problems with singular perturbed boundary |
scientific article; zbMATH DE number 935177 |
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Asymptotics of the solution of an integral equation to transmission problems with singular perturbed boundary (English)
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14 October 1996
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Summary: The integral equation to a transmission problem of the Laplacian is considered on a smooth boundary of a plane domain. The contour depends on a positive parameter \(\varepsilon\) and the domain has a corner in the limit case \(\varepsilon=0\). The main terms of an asymptotic expansion showing the influence of the parameter are given. The remaining part is estimated in a weak norm.
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boundary integral equations
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asymptotic expansion
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