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Convex-monotone hulls and an estimate of the maximum of the solution of a parabolic equation

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Abstract

N. V. Krylov's estimate for the maximum of the solution of a linear parabolic equation is extended to a larger class of operators.In this connection one investigates some properties of convex and convex-monotone hulls.

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Literature cited

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Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 147, pp. 95–109, 1985.

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Nazarov, A.I., Ural'tseva, N.N. Convex-monotone hulls and an estimate of the maximum of the solution of a parabolic equation. J Math Sci 37, 851–859 (1987). https://doi.org/10.1007/BF01387723

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  • DOI: https://doi.org/10.1007/BF01387723

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