Abstract
An estimate of the solution of the second initial-boundary-value problem is established for a parabolic equation of nondivergence form in Hölder classes.
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Literature cited
O. A. Ladyzhenskaya and N. N. Ural'tseva, “Estimates of the Hölder constant for functions satisfying a uniformly elliptic or a uniformly parabolic quasilinear inequality with unbounded coefficients,” J. Sov. Math.,37, No. 1 (1987).
A. I. Nazarov and N. N. Ural'tseva, “Convex-monotone hulls and an estimate of the maximum of the solution of a parabolic equation,” J. Sov. Math.,37, No. 1 (1987).
N. S. Nadirashvili, “On a problem with an oblique derivative,” Mat. Sb.,127 (169), No. 3, 398–416 (1985).
Tso Kaising, “On an Aleksandrov-Bakel'man type maximum principle for second-order parabolic equations,” Commun. Partial Diff. Equations,10, No. 5, 543–553 (1985).
Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 163, pp. 130–131, 1987.
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Nazarov, A.I. Estimates of the Hölder constant for the solution of an initial-boundary-value problem with an oblique derivative for a parabolic equation. J Math Sci 49, 1202–1203 (1990). https://doi.org/10.1007/BF02208715
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DOI: https://doi.org/10.1007/BF02208715