A criterion for the regularity of the point at infinity for the Zaremba problem in a semicylinder (Q1118099)
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scientific article; zbMATH DE number 4093994
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A criterion for the regularity of the point at infinity for the Zaremba problem in a semicylinder |
scientific article; zbMATH DE number 4093994 |
Statements
A criterion for the regularity of the point at infinity for the Zaremba problem in a semicylinder (English)
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1988
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The asymptotic behaviour at infinity of solutions to the Zaremba problem for the Laplace operator in a half-cylinder is studied. Pointwise estimates for solutions, the Green function and the harmonic measure are obtained in terms of the Wiener capacity. The main result is a necessary and sufficient condition for regularity of a point at infinity.
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Laplace operator
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harmonic measure
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Wiener capacity
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regularity
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point at infinity
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