On parabolic equations with discontinuous perturbations in coefficients (Q1921643)

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scientific article; zbMATH DE number 922998
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On parabolic equations with discontinuous perturbations in coefficients
scientific article; zbMATH DE number 922998

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    On parabolic equations with discontinuous perturbations in coefficients (English)
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    30 October 1996
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    The paper is concerned with the investigation of the first boundary problem for linear parabolic equations in non-divergence form with discontinuous coefficients at higher derivatives. We obtain conditions for solution regularity which seem to be more easily verifiable and convenient for applications than the Cordes conditions, though both conditions mean some closeness of coefficients to ones of a `good' equation.
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    Cordes conditions
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