Matematičeskie zametki, Tome 22 (1977) no. 4, pp. 553-560
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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/
@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/}
}
TY - JOUR
AU - I. D. Pukal'skii
TI - Estimates of solutions of parabolic equations degenerating on the boundary of a domain
JO - Matematičeskie zametki
PY - 1977
SP - 553
EP - 560
VL - 22
IS - 4
UR - http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a10/
LA - ru
ID - MZM_1977_22_4_a10
ER -
%0 Journal Article
%A I. D. Pukal'skii
%T Estimates of solutions of parabolic equations degenerating on the boundary of a domain
%J Matematičeskie zametki
%D 1977
%P 553-560
%V 22
%N 4
%U http://geodesic.mathdoc.fr/item/MZM_1977_22_4_a10/
%G ru
%F MZM_1977_22_4_a10
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.
