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

Voir la notice de l'article provenant de la source Math-Net.Ru

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/}
}
TY  - JOUR
AU  - N. V. Krylov
TI  - On the limit passage in parabolic Bellman equations
JO  - Izvestiya. Mathematics 
PY  - 1979
SP  - 677
EP  - 684
VL  - 13
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1979_13_3_a6/
LA  - en
ID  - IM2_1979_13_3_a6
ER  - 
%0 Journal Article
%A N. V. Krylov
%T On the limit passage in parabolic Bellman equations
%J Izvestiya. Mathematics 
%D 1979
%P 677-684
%V 13
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1979_13_3_a6/
%G en
%F IM2_1979_13_3_a6
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/

[1] Krylov N. V., Upravlyaemye protsessy diffuzionnogo tipa, Nauka, M., 1977 | MR

[2] Krylov N. V., “O edinstvennosti resheniya uravneniya Bellmana”, Izv. AN SSSR. Ser. matem., 35 (1971), 1377–1388 | MR | Zbl

[3] Krylov N. V., “K teorii nelineinykh vyrozhdayuschikhsya ellipticheskikh uravnenii”, Dokl. AN SSSR, 201:6 (1971), 1279–1281

[4] Danford N., Shvarts Dzh. T., Lineinye operatory, obschaya teoriya, IL, M., 1962

[5] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1964 | MR

[6] Krylov N. V., “O printsipe maksimuma dlya nelineinykh parabolicheskikh i ellipticheskikh uravnenii”, Izv. AN SSSR. Ser. matem., 42 (1978), 1050–1062 | MR | Zbl

[7] Krylov N. V., “Ogranichenno neodnorodnye ellipticheskie i parabolicheskie uravneniya na ploskosti”, Matem. sbornik, 82:1 (1970), 99–110 | MR | Zbl