Geodesic
Regularity of boundary points for linear equations of parabolic type
Matematičeskie zametki, Tome 20 (1976) no. 5, pp. 717-723.

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The paper considers a second-order linear parabolic equation whose coefficients satisfy a Dini condition. It is proven that the conditions for regularity of the boundary points for such an equation and for the heat-conduction equation coincide. 
@article{MZM_1976_20_5_a10,
     author = {I. T. Mamedov},
     title = {Regularity of boundary points for linear equations of parabolic type},
     journal = {Matemati\v{c}eskie zametki},
     pages = {717--723},
     publisher = {mathdoc},
     volume = {20},
     number = {5},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a10/}
}
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I. T. Mamedov. Regularity of boundary points for linear equations of parabolic type. Matematičeskie zametki, Tome 20 (1976) no. 5, pp. 717-723. http://geodesic.mathdoc.fr/item/MZM_1976_20_5_a10/