ON estimates of the maximum of a solution of a parabolic equation and estimates of the distribution of a semimartingale

N. V. Krylov

doi:10.1070/SM1987v058n01ABEH003100

ON estimates of the maximum of a solution of a parabolic equation and estimates of the distribution of a semimartingale

N. V. Krylov

Mathematics

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Abstract

Estimates are proved for the maximum of a solution of a linear parabolic equation in terms of the L_p-norm of the right-hand side. The coefficients of the first derivatives are assumed to be integrable to a suitable power. Various boundary value problems are considered. Corresponding L_p-estimates are proved also for the distributions of semimartingales.

Original language	English (US)
Pages (from-to)	207-221
Number of pages	15
Journal	Mathematics of the USSR - Sbornik
Volume	58
Issue number	1
DOIs	https://doi.org/10.1070/SM1987v058n01ABEH003100
State	Published - Feb 28 1987

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AB - Estimates are proved for the maximum of a solution of a linear parabolic equation in terms of the Lp-norm of the right-hand side. The coefficients of the first derivatives are assumed to be integrable to a suitable power. Various boundary value problems are considered. Corresponding Lp-estimates are proved also for the distributions of semimartingales.

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ON estimates of the maximum of a solution of a parabolic equation and estimates of the distribution of a semimartingale

Abstract

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