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Laplacian with respect to a measure on a Hilbert space and an \(L_2\)-version of the Dirichlet problem for the Poisson equation - MaRDI portal

Laplacian with respect to a measure on a Hilbert space and an \(L_2\)-version of the Dirichlet problem for the Poisson equation (Q1759980)

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scientific article; zbMATH DE number 6110032
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English
Laplacian with respect to a measure on a Hilbert space and an \(L_2\)-version of the Dirichlet problem for the Poisson equation
scientific article; zbMATH DE number 6110032

    Statements

    Laplacian with respect to a measure on a Hilbert space and an \(L_2\)-version of the Dirichlet problem for the Poisson equation (English)
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    23 November 2012
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    In this article, a new version of the Laplacian for functions defined on a Hilbert space with measure is proposed. Additionally, the author investigates uniqueness of the Poisson equation with Dirichlet boundary condition as an application.
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    Laplacian
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    Hilbert space
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    Poisson equation
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