Geodesic
On the limit passage in parabolic Bellman equations
Izvestiya. Mathematics , Tome 13 (1979) no. 3, pp. 677-684

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This paper contains theorems on passing to the limit under the sign of a nonlinear parabolic operator of minimax type, when a certain convergence of a sequence of functions is assumed, but the convergence of the derivatives of these functions is not assumed. The functions under consideration belong to Sobolev classes. Bibliography: 7 titles. 
@article{IM2_1979_13_3_a6,
     author = {N. V. Krylov},
     title = {On the limit passage in parabolic {Bellman} equations},
     journal = {Izvestiya. Mathematics },
     pages = {677--684},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {1979},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1979_13_3_a6/}
}
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N. V. Krylov. On the limit passage in parabolic Bellman equations. Izvestiya. Mathematics , Tome 13 (1979) no. 3, pp. 677-684. http://geodesic.mathdoc.fr/item/IM2_1979_13_3_a6/