Geodesic
On estimates of the maximum of a~solution of a~parabolic equation and estimates of the distribution of a~semimartingale
Sbornik. Mathematics, Tome 58 (1987) no. 1, pp. 207-221

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Estimates are proved for the maximum of a solution of a linear parabolic equation in terms of the $\mathscr L_p$-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 $\mathscr L_p$-estimates are proved also for the distributions of semimartingales. Bibliography: 16 titles. 
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     author = {N. V. Krylov},
     title = {On estimates of the maximum of a~solution of a~parabolic equation and estimates of the distribution of a~semimartingale},
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N. V. Krylov. On estimates of the maximum of a~solution of a~parabolic equation and estimates of the distribution of a~semimartingale. Sbornik. Mathematics, Tome 58 (1987) no. 1, pp. 207-221. http://geodesic.mathdoc.fr/item/SM_1987_58_1_a11/