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An estimate of the first derivative by the Laplacian. - MaRDI portal

An estimate of the first derivative by the Laplacian. (Q595855)

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scientific article; zbMATH DE number 2084026
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An estimate of the first derivative by the Laplacian.
scientific article; zbMATH DE number 2084026

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    An estimate of the first derivative by the Laplacian. (English)
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    6 August 2004
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    The author proves that a negative valued \(C^2\) function \(h(w)\) in the unit disc \hbox{\(D=\{w\in \mathbb C:|w|<1\}\)} with \(h(1)=h_w(1)=0\) has a first derivative \(h_w\) which is controlled by the Laplacian of \(h\) over a sequence of points converging to \(w=1\).
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    real functions
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    Laplacian
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