Geodesic
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.

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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). 
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     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},
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     publisher = {mathdoc},
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     number = {4},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_19_4_a11/}
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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/