Approximation and regularization of optimal control problems for quasilinear elliptic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 8, pp. 1148-1164
Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2001_41_8_a1,
     author = {F. V. Lubyshev and M. \`E. Fairuzov},
     title = {Approximation and regularization of optimal control problems for quasilinear elliptic equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1148--1164},
     year = {2001},
     volume = {41},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_8_a1/}
}
TY  - JOUR
AU  - F. V. Lubyshev
AU  - M. È. Fairuzov
TI  - Approximation and regularization of optimal control problems for quasilinear elliptic equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2001
SP  - 1148
EP  - 1164
VL  - 41
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_8_a1/
LA  - ru
ID  - ZVMMF_2001_41_8_a1
ER  - 
%0 Journal Article
%A F. V. Lubyshev
%A M. È. Fairuzov
%T Approximation and regularization of optimal control problems for quasilinear elliptic equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2001
%P 1148-1164
%V 41
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_8_a1/
%G ru
%F ZVMMF_2001_41_8_a1
F. V. Lubyshev; M. È. Fairuzov. Approximation and regularization of optimal control problems for quasilinear elliptic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 41 (2001) no. 8, pp. 1148-1164. http://geodesic.mathdoc.fr/item/ZVMMF_2001_41_8_a1/

[1] Lure K. A., Optimalnoe upravlenie v zadachakh matematicheskoi fiziki, Nauka, M., 1975 | MR

[2] Banichuk N. V., Optimizatsiya form uprugikh tel, Nauka, M., 1980 | MR

[3] Banichuk N. V., Vvedenie v optimizatsiyu konstruktsii, Nauka, M., 1986 | MR

[4] Banichuk N. V., Ivanova S. Yu., Sharanyuk A. V., Dinamika konstruktsii. Analiz i optimizatsiya, Nauka, M., 1989 | MR

[5] Troitskii V. A., Petukhov L. V., Optimizatsiya form uprugikh tel, Nauka, M., 1982 | MR

[6] Lions Zh.-L., Optimalnoe upravlenie sistemami, opisyvaemymi uravneniyami s chastnymi proizvodnymi, Mir, M., 1972 | MR

[7] Lions Zh.-L., “Ob optimalnom upravlenii raspredelennymi sistemami”, Uspekhi matem. nauk, 28:4 (1973), 15–46 | Zbl

[8] Vasilev F. P., Metody resheniya ekstremalnykh zadach, Nauka, M., 1981 | MR

[9] Ishmukhametov A. Z., Usloviya ustoichivosti, approksimatsiya i chislennoe reshenie zadach optimalnogo upravleniya, Avtoref. dis. ...dokt. fiz.-matem. nauk, MGU, M., 1996, 33 pp.

[10] Potapov M. M., Approksimatsiya ekstremalnykh zadach v matematicheskoi fizike (giperbolicheskie uravneniya), Izd-vo MGU, M., 1985

[11] Lubyshev F. V., Raznostnye approksimatsii zadach optimalnogo upravleniya sistemami, opisyvaemymi uravneniyami v chastnykh proizvodnykh, BashGu, Ufa, 1999

[12] Lubyshev F. V., “Tochnost raznostnykh approksimatsii i regulyarizatsiya zadach optimalnogo upravleniya dlya ellipticheskogo uravneniya s upravleniyami v koeffitsientakh”, Zh. vychisl. matem. i matem. fiz., 29:9 (1989), 1431–1433 | Zbl

[13] Lubyshev F. V., “Approksimatsiya i regulyarizatsiya zadach optimalnogo upravleniya dlya nesamosopryazhennogo ellipticheskogo uravneniya s peremennymi koeffitsientami”, Zh. vychisl. matem. i matem. fiz., 31:1 (1991), 17–30 | MR | Zbl

[14] Lubyshev F. V., “Approksimatsiya i regulyarizatsiya zadach optimalnogo upravleniya koeffitsientami parabolicheskikh uravnenii”, Zh. vychisl. matem. i matem. fiz., 33:8 (1993), 1166–1183 | MR | Zbl

[15] Lubyshev F. V., “Approksimatsiya i regulyarizatsiya zadach optimalnogo upravleniya dlya parabolicheskikh uravnenii s upravleniyami v koeffitsientakh”, Dokl. RAN, 349:5 (1996), 598–602 | MR | Zbl

[16] Gaevskii Kh., Greger K., Zakharias K., Nelineinye operatornye uravneniya i operatornye differentsialnye uravneniya, Mir, M., 1978 | MR

[17] Slobodetskii L. N., “Obobschennye prostranstva Soboleva i ikh prilozhenie k kraevym zadacham dlya differentsialnykh uravnenii v chastnykh proizvodnykh”, Uch. zap. Leningr. ped. in-ta, 197, 1958, 54–112

[18] Ladyzhenskaya O. A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973 | MR

[19] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989 | MR

[20] Samarskii A. A., Andreev V. B., Raznostnye metody dlya ellipticheskikh uravnenii, Nauka, M., 1976 | MR | Zbl

[21] Samarskii A. A., Lazarov R. D., Makarov V. L., Raznostnye skhemy dlya differentsialnykh uravnenii s obobschennymi resheniyami, Vyssh. shkola, M., 1987

[22] Tikhonov A. N., Arsenin V. Ya., Metody resheniya nekorrektnykh zadach, Nauka, M., 1986 | MR | Zbl