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Boundary estimates for the first-order derivatives of a solution to a nondivergent parabolic equation with composite right-hand side and coefficients of lower-order derivatives. / Apushkinskaya, D. E.; Nazarov, A. I.

In: Journal of Mathematical Sciences , Vol. 77, No. 4, 01.12.1995, p. 3257-3276.

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@article{784fcdc185e04b5f8ac086f0735a2c5d,
title = "Boundary estimates for the first-order derivatives of a solution to a nondivergent parabolic equation with composite right-hand side and coefficients of lower-order derivatives",
abstract = "A linear parabolic equation with special singularities is studied. A priori boundary estimates are established for the maximum of the modulus of the gradient of a solution and for the H{\"o}lder constants as well. These estimates depend linearly on the functions appearing on the right-hand side of the equation. Bibliography: 7 titles.",
author = "Apushkinskaya, {D. E.} and Nazarov, {A. I.}",
year = "1995",
month = dec,
day = "1",
doi = "10.1007/BF02364860",
language = "English",
volume = "77",
pages = "3257--3276",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "4",

}

RIS

TY - JOUR

T1 - Boundary estimates for the first-order derivatives of a solution to a nondivergent parabolic equation with composite right-hand side and coefficients of lower-order derivatives

AU - Apushkinskaya, D. E.

AU - Nazarov, A. I.

PY - 1995/12/1

Y1 - 1995/12/1

N2 - A linear parabolic equation with special singularities is studied. A priori boundary estimates are established for the maximum of the modulus of the gradient of a solution and for the Hölder constants as well. These estimates depend linearly on the functions appearing on the right-hand side of the equation. Bibliography: 7 titles.

AB - A linear parabolic equation with special singularities is studied. A priori boundary estimates are established for the maximum of the modulus of the gradient of a solution and for the Hölder constants as well. These estimates depend linearly on the functions appearing on the right-hand side of the equation. Bibliography: 7 titles.

UR - http://www.scopus.com/inward/record.url?scp=34249756589&partnerID=8YFLogxK

U2 - 10.1007/BF02364860

DO - 10.1007/BF02364860

M3 - Article

AN - SCOPUS:34249756589

VL - 77

SP - 3257

EP - 3276

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 4

ER -

ID: 45874816