Geodesic
Estimates of solutions of parabolic equations degenerating on the boundary of a domain
Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 553-560 Cet article a éte moissonné depuis la source Math-Net.Ru

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For a parabolic equation, degenerating as a power on the boundary of a domain, a theorem on the a priori boundary estimates of solutions is established. This theorem is applied for the study of the behavior of the constructed solution of the Dirichlet problem near the boundary. 
@article{MZM_1977_22_4_a10,
     author = {I. D. Pukal'skii},
     title = {Estimates of solutions of parabolic equations degenerating on the boundary of a~domain},
     journal = {Matemati\v{c}eskie zametki},
     pages = {553--560},
     year = {1977},
     volume = {22},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a10/}
}
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I. D. Pukal'skii. Estimates of solutions of parabolic equations degenerating on the boundary of a domain. Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 553-560. http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a10/