Abstract
One considers Bellman's elliptic equation with constant coefficients and zero boundary values on a plane part of the boundary. In this case one gives a simplified proof of N. V. Krylov's result regarding the boundary estimates of the Hölder constants of the second derivatives of the solutions of the Bellman equation.
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Additional information
Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 147, pp. 150–154, 1985.
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Safonov, M.V. Smoothness near the boundary of the solutions of the elliptic Bellman equations. J Math Sci 37, 885–888 (1987). https://doi.org/10.1007/BF01387728
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DOI: https://doi.org/10.1007/BF01387728