On an exterior Laplace equation problem with Robin boundary condition (Q1177023)

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scientific article; zbMATH DE number 12832
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On an exterior Laplace equation problem with Robin boundary condition
scientific article; zbMATH DE number 12832

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    On an exterior Laplace equation problem with Robin boundary condition (English)
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    25 June 1992
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    (From the authors abstract.) An exterior problem for Laplace's equation in \(R^ 3\) with a Robin boundary condition is investigated. The particular form of the assumed boundary condition can be considered to be a perturbation of a Dirichlet boundary condition. The convergence of the solution to the Robin problem to that of the corresponding Dirichlet problem is proven for sufficiently smooth prescribed boundary functions.
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    perturbation of a Dirichlet boundary condition
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    integral equation method
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    singular perturbation problem
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