Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 17, Tome 147 (1985), pp. 150-154
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M. V. Safonov. On the smoothnesa near the boundary for the solutions of elliptic Bellman equations. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 17, Tome 147 (1985), pp. 150-154. http://geodesic.mathdoc.fr/item/ZNSL_1985_147_a11/
@article{ZNSL_1985_147_a11,
author = {M. V. Safonov},
title = {On the smoothnesa near the boundary for the solutions of elliptic {Bellman} equations},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {150--154},
year = {1985},
volume = {147},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1985_147_a11/}
}
TY - JOUR
AU - M. V. Safonov
TI - On the smoothnesa near the boundary for the solutions of elliptic Bellman equations
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1985
SP - 150
EP - 154
VL - 147
UR - http://geodesic.mathdoc.fr/item/ZNSL_1985_147_a11/
LA - ru
ID - ZNSL_1985_147_a11
ER -
%0 Journal Article
%A M. V. Safonov
%T On the smoothnesa near the boundary for the solutions of elliptic Bellman equations
%J Zapiski Nauchnykh Seminarov POMI
%D 1985
%P 150-154
%V 147
%U http://geodesic.mathdoc.fr/item/ZNSL_1985_147_a11/
%G ru
%F ZNSL_1985_147_a11
The elliptic Bellman equation with constant coefficients and zero boundary values on a flat part of the boundary is considered. In this case we give a simplified proof of the H.V. Krylov's result about the estimates near the boundary for the Holder constants for the second derivatives of the solutions of Bellman equation.
