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A characterization of harmonic \(L^r\)-vector fields in two-dimensional exterior domains - MaRDI portal

A characterization of harmonic \(L^r\)-vector fields in two-dimensional exterior domains (Q2658959)

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A characterization of harmonic \(L^r\)-vector fields in two-dimensional exterior domains
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    A characterization of harmonic \(L^r\)-vector fields in two-dimensional exterior domains (English)
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    25 March 2021
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    The paper extends the Helmholtz-Weyl decomposition to the case of two-dimensional exterior domains and determines the finite dimensions of the resulting spaces of harmonic vector fields.
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    Helmholtz-Weyl decomposition
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    exterior domains
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    harmonic vector fields
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    Betti number
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