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Continuity of solutions of uniformly elliptic equations in \(\mathbb{R}^ 2\) - MaRDI portal

Continuity of solutions of uniformly elliptic equations in \(\mathbb{R}^ 2\) (Q1313303)

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scientific article; zbMATH DE number 490678
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English
Continuity of solutions of uniformly elliptic equations in \(\mathbb{R}^ 2\)
scientific article; zbMATH DE number 490678

    Statements

    Continuity of solutions of uniformly elliptic equations in \(\mathbb{R}^ 2\) (English)
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    26 January 1994
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    We prove that the Green's function of a second order uniformly elliptic operator in \(\mathbb{R}^ 2\) belongs to the space BMO.
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    \(L^ \infty\)-coefficients
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    second order uniformly elliptic operator in \(\mathbb{R}^ 2\)
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    Green's function
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    space BMO
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