On explicit representation and approximations of Dirichlet-to-Neumann semigroup (Q1941746)
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scientific article; zbMATH DE number 6147885
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On explicit representation and approximations of Dirichlet-to-Neumann semigroup |
scientific article; zbMATH DE number 6147885 |
Statements
On explicit representation and approximations of Dirichlet-to-Neumann semigroup (English)
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21 March 2013
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The authors show that Lax's representation of the Dirichlet-to-Neumann semigroup does not hold for any domain except Euclidean balls. By using Chernoff's theorem, they find an approximating family to this semigroup with some motivations in numerical calculations.
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Dirichlet-to-Neumann operator
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Lax's Dirichlet-to-Neumann semigroup
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\(\gamma \)-harmonic lifting
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0.92660725
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0.9036419
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0.8843045
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0.88364625
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