A probabilistic solution of the Neumann problem for the Poisson equation in a Hilbert space domain (Q1382613)
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scientific article; zbMATH DE number 1134971
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A probabilistic solution of the Neumann problem for the Poisson equation in a Hilbert space domain |
scientific article; zbMATH DE number 1134971 |
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A probabilistic solution of the Neumann problem for the Poisson equation in a Hilbert space domain (English)
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29 March 1998
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The author derives a formula expressing the solution of the Neumann problem in a domain of the Hilbert space with smooth boundary. To this end a functional is constructed with the use of mapped Brownian motion in the given domain and an integration with respect to Wiener measure is carried out.
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Neumann problem
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probability solution
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0.94039196
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0.9367837
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0.9365685
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0.9313822
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0.9313822
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0.9191174
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0.9072618
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