Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_1993_54_2_a9, author = {S. Ya. Serovaǐskiǐ}, title = {Optimization in a nonlinear elliptic system with control in the coefficients}, journal = {Matemati\v{c}eskie zametki}, pages = {85--95}, publisher = {mathdoc}, volume = {54}, number = {2}, year = {1993}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_1993_54_2_a9/} }
S. Ya. Serovaǐskiǐ. Optimization in a nonlinear elliptic system with control in the coefficients. Matematičeskie zametki, Tome 54 (1993) no. 2, pp. 85-95. http://geodesic.mathdoc.fr/item/MZM_1993_54_2_a9/
[1] Litvinov V. G., Optimizatsiya v ellipticheskikh granichnykh zadachakh, Nauka, M., 1987
[2] Lure K. A., Optimalnoe upravlenie v zadachakh matematicheskoi fiziki, Nauka, M., 1975
[3] Raitum U. E., Zadachi optimalnogo upravleniya dlya ellipticheskikh uravnenii, Zinantne, Riga, 1989 | Zbl
[4] Goedel M., “Optimal control of coefficient in linear elliptic equations”, Math. Oper. Stad. Optim., 12:4 (1981), 525–533 | MR
[5] Murat F., “Centre-examples pour divers problémes où le contròle intervient dans les coefficients”, Ann. di Math. Pura et Appl., 112 (1977), 46–68 | MR
[6] Tartar L., “Problèmes de contròle des coefficients dans les équations sux derivées partillés”, Lect. Notes Econom. and Math. Syst., 107 (1977), 420–426 | MR
[7] Zolezzi T., “Necessary conditions for optimal control of elliptic or parabolic problems”, SIAM J. Control, 10:2, 594–607 | MR | Zbl
[8] Ivanenko V. I., Melnik V. S., Variatsionnye metody v zadachakh upravleniya dlya sistem s raspredelennymi parametrami, Naukova Dumka, Kiev, 1989 | Zbl
[9] Kuznetsov Yu. A., “O neobkhodimykh usloviyakh optimalnosti v zadache upravleniya sistemoi, opisyvaemoi uravneniem ellipticheskogo tipa”, Sib. mat. zh., 2:3 (1979), 586–596
[10] Raitum U. E., “Neobkhodimye usloviya ekstremuma v zadachakh optimalnogo upravleniya dlya nelineinykh ellipticheskikh uravnenii”, Differents. urav., 19:6 (1983), 1040–1047 | MR | Zbl
[11] Lions Zh.-L., Upravlenie singulyarnymi raspredelennymi sistemami, Nauka, M., 1987
[12] Serovaiskii S. Ya., O differentsirovanii neyavnoi funktsii v banakhovykh prostranstvakh, Izv. AN Kaz. SSR. Ser. fiz.-mat. Alma-Ata. Dep. v VINITI 31.01.89, No 2270-V89, 1989
[13] Serovaiskii S. Ya., “Kvazisopryazhennye sistemy i neobkhodimye usloviya optimalnosti v nelineinykh beskonechnomernykh sistemakh”, Izv. vuzov. Mat., 4 (1989), 61–69 | MR | Zbl
[14] Lions Zh.-L., Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972
[15] Lions Zh.-L., Optimalnoe upravlenie sistemami, opisyvaemymi uravneniyami s chastnymi proizvodnymi, Mir, M., 1972
[16] Chernousko F. L., Kolmanovskii V. B., “Vychislitelnye i priblizhennye metody optimizatsii”, Itogi nauki i tekhniki. Matem. analiz, 14, 1977, 101–166 | Zbl