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
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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.
@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/}
}
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/