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Dense subsets of \({\mathcal L}^1\)-solutions to linear elliptic partial differential equations - MaRDI portal

Dense subsets of \({\mathcal L}^1\)-solutions to linear elliptic partial differential equations (Q1971917)

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scientific article; zbMATH DE number 1423441
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English
Dense subsets of \({\mathcal L}^1\)-solutions to linear elliptic partial differential equations
scientific article; zbMATH DE number 1423441

    Statements

    Dense subsets of \({\mathcal L}^1\)-solutions to linear elliptic partial differential equations (English)
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    7 March 2001
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    The author gives a geometric condition for an unbounded domain \(\Omega\subset \mathbb{R}^N\) in order that the rapidly decreasing \(L^1\)-solutions of an elliptic homogeneous operator of order \(m\) approximate all \(L^1\)-solutions of this operator.
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    elliptic operators
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    approximation of solutions
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    polyanalytic functions
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