Career
He taught from 1966 to 1990 at the Lomonosov University and is since 1990 a professor at the University of Minnesota. At the beginning of his career (starting from 1963) he, in collaboration with Dynkin, worked on nonlinear stochastic control theory, making advances in the study of convex, nonlinear partial equations of 2nd order (ie Bellman equations), which were examined with stochastic methods. They proved the second order differentiability (Hölder continuity of the second derivative) of the solutions of convex, completely nonlinear, second order elliptical partial differential equations and thus the existence of "classical solutions" (Theorem of Evans-Krylov).
He was in 1978 at Helsinki and in 1986 at Berkeley an Invited Speaker for the ICM. He should not be confused with the mathematician Nikolay M. Krylov.
