Geodesic
On uniqueness of the solution of Bellman's equation
Izvestiya. Mathematics , Tome 5 (1971) no. 6, pp. 1387-1398.

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Theorems on the uniqueness of the solution of Bellman's equation in Sobolev classes are considered. Theorems on passing to the limit in such equations are proved. 
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N. V. Krylov. On uniqueness of the solution of Bellman's equation. Izvestiya. Mathematics , Tome 5 (1971) no. 6, pp. 1387-1398. http://geodesic.mathdoc.fr/item/IM2_1971_5_6_a9/

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