Geodesic
On unconditional solvability of the Bellman equation with constant coefficients in convex domains
Sbornik. Mathematics, Tome 63 (1989) no. 2, pp. 289-303 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is proved that Bellman equations are solvable in smooth strictly convex domains. Bibliography: 6 titles. 
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N. V. Krylov. On unconditional solvability of the Bellman equation with constant coefficients in convex domains. Sbornik. Mathematics, Tome 63 (1989) no. 2, pp. 289-303. http://geodesic.mathdoc.fr/item/SM_1989_63_2_a1/

[1] Krylov N. V., “Ob upravlenii diffuzionnym protsessom do momenta pervogo vykhoda iz oblasti”, Izv. AN SSSR. Ser. matem., 45 (1981), 734–759 | MR | Zbl

[2] Krylov N. V., Nelineinye ellipticheskie i parabolicheskie uravneniya vtorogo poryadka, Nauka, M., 1985 | MR

[3] Krylov N. V., “O pervoi kraevoi zadache dlya nelineinykh vyrozhdayuschikhsya ellipticheskikh uravnenii”, Izv. AN SSSR. Ser. matem., 51 (1987), 242–269 | MR | Zbl

[4] Caffarelli L., Nirenberg L., Spruck J., “The Dirichlet problem for nonlinear second order elliptic equations. III”, Functions of the eigenvalues of the Hessian Acta Math., 155:3–4 (1985), 261–301 | MR | Zbl

[5] Krylov N. V., “O nelineinykh ellipticheskikh uravneniyakh s postoyannymi “koeffitsientami” v vypuklykh oblastyakh”, UMN, 41:4 (1986), 210

[6] Nosovskii G. V., “K apriornym otsenkam proizvodnykh reshenii uravnenii Bellmana”, Matem. zametki., 41:5 (1987), 710–717 | MR | Zbl