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Shape holomorphy of the Calderón projector for the Laplacian in \(\mathbb{R}^2\) - MaRDI portal

Shape holomorphy of the Calderón projector for the Laplacian in \(\mathbb{R}^2\) (Q2044585)

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scientific article; zbMATH DE number 7380181
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English
Shape holomorphy of the Calderón projector for the Laplacian in \(\mathbb{R}^2\)
scientific article; zbMATH DE number 7380181

    Statements

    Shape holomorphy of the Calderón projector for the Laplacian in \(\mathbb{R}^2\) (English)
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    10 August 2021
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    The authors establish the holomorphic dependence of the Calderón projector for the Laplace equation on a collection of sufficiently smooth Jordan curves in the Cartesian Euclidean plan. To be precise, they establish holomorphy of the domain-to-operator map associated to the Calderón projector.
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    shape holomorphy
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    boundary integral operators
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    boundary integral equations
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    uncertainty quantification
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