Matematičeskie zametki, Tome 19 (1976) no. 4, pp. 587-593
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A. A. Novruzov. Modulus of continuity of the solution to the Dirichlet problem for a second-order parabolic equation. Matematičeskie zametki, Tome 19 (1976) no. 4, pp. 587-593. http://geodesic.mathdoc.fr/item/MZM_1976_19_4_a11/
@article{MZM_1976_19_4_a11,
author = {A. A. Novruzov},
title = {Modulus of continuity of the solution to the {Dirichlet} problem for a~second-order parabolic equation},
journal = {Matemati\v{c}eskie zametki},
pages = {587--593},
year = {1976},
volume = {19},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_4_a11/}
}
TY - JOUR
AU - A. A. Novruzov
TI - Modulus of continuity of the solution to the Dirichlet problem for a second-order parabolic equation
JO - Matematičeskie zametki
PY - 1976
SP - 587
EP - 593
VL - 19
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1976_19_4_a11/
LA - ru
ID - MZM_1976_19_4_a11
ER -
%0 Journal Article
%A A. A. Novruzov
%T Modulus of continuity of the solution to the Dirichlet problem for a second-order parabolic equation
%J Matematičeskie zametki
%D 1976
%P 587-593
%V 19
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1976_19_4_a11/
%G ru
%F MZM_1976_19_4_a11
The modulus of continuity of the solution to the Dirichlet problem is investigated for a second-order parabolic equation at a regular boundary point. A bound for the modulus of continuity is obtained in terms of the capacity. The coefficients of the equation are required to satisfy a Dini condition (uniformly).
