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Smoothness and limiting properties of solutions of a second-order parabolic equation - MaRDI portal

Smoothness and limiting properties of solutions of a second-order parabolic equation (Q1179603)

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scientific article; zbMATH DE number 25005
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Smoothness and limiting properties of solutions of a second-order parabolic equation
scientific article; zbMATH DE number 25005

    Statements

    Smoothness and limiting properties of solutions of a second-order parabolic equation (English)
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    26 June 1992
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    Second order linear homogeneous parabolic equations are considered. Under the assumption that the modulus of continuity of the coefficients satisfies a Dini-type condition, estimates of the derivatives of a solution and its low order asymptotic expansions near an arbitrary point in the space-time domain are given.
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    smoothness
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    asymptotic expansions
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    pointwise estimates
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    second order linear homogeneous parabolic equations
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    Dini-type condition
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