Geodesic
A~control problem in coefficients and an extended derivative with respect to a~convex set
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2005), pp. 46-55.

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S. Ya. Serovaǐskiǐ. A~control problem in coefficients and an extended derivative with respect to a~convex set. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2005), pp. 46-55. http://geodesic.mathdoc.fr/item/IVM_2005_12_a5/

[1] Alifanov O.M., Identifikatsiya protsessov teploobmena letatelnykh apparatov, Mashinostroenie, M., 1979, 216 pp.

[2] Arman Zh.P., Prilozheniya teorii optimalnogo upravleniya sistemami s raspredelennymi parametrami k zadacham optimizatsii konstruktsii, Mir, M., 1977, 142 pp.

[3] Litvinov V.G., Optimizatsiya v ellipticheskikh granichnykh zadachakh s prilozheniyami k mekhanike, Nauka, M., 1987, 366 pp. | MR

[4] Tiba D., “New results in shape optimizations”, Math. Repts., 5:4 (2003), 389–398 | MR | Zbl

[5] Murat F., “Thèoremes de non-existènce pour des problèmes de contrôle dans les coefficients”, C. R. Acad. Sci. Paris, 1972, no. 5, A395–A398 | MR

[6] Lions J.-L., Some aspects of the optimal control of distributed parameter systems, Soc. Ind. Appl. Math., Philadelpia, 1972, 92 pp. | MR | Zbl

[7] Tartar L., “Problèmes de contrôle des coefficients dans les equations am derivees partielles”, Lect. Notes Econom. and Math. Syst., 107, 1977, 420–426 | MR

[8] Pucci C., “Un problema variazionale per i coefficienti di equazioni differenziali di tipo ellittico”, Ann. Sc. Norm. Sup. Pisa, 16 (1962), 159–172 | MR | Zbl

[9] Zolezzi T., “Necessary conditions for optimal controls of elliptic or parabolic problems”, SIAM J. Control., 10:4 (1972), 594–607 | DOI | MR | Zbl

[10] Lione Zh.-L., Optimalnoe upravlenie sistemami, opisyvaemymi uravneniyami s chastnymi proizvodnymi, Mir, M., 1972, 416 pp. | MR

[11] Baranger J., Quelque resultants en optimization non convexe, Thèse, Grenoble, 1973, 174 pp. | Zbl

[12] Goedel M., “Optimal control of coefficient in linear elliptic equations”, Math. Oper. Stad. Optim., 12:4 (1981), 525–533

[13] Raitum U.E., Zadachi optimalnogo upravleniya dlya ellipticheskikh uravnenii, Zinatne, Riga, 1989, 280 pp. | MR | Zbl

[14] Ivanenko V.I., Melnik B.C., Variatsionnye metody v zadachakh upravleniya dlya sistem s raspredelennymi parametrami, Nauk. Dumka, Kiev, 1989, 284 pp. | Zbl

[15] Serovaiskii S.Ya., “Optimizatsiya v nelineinykh ellipticheskikh sistemakh s upravleniem v koeffitsientakh”, Matem. zametki, 54:2 (1993), 85–95 | MR | Zbl

[16] Lubyshev F.V., Fairuzov M.E., “Approksimatsiya i regulyarizatsiya zadach optimalnogo upravleniya dlya kvazilineinykh ellipticheskikh uravnenii”, Zhurn. vychisl. matem. i matem. fiz., 41:8 (2001), 1148–1164 | MR | Zbl

[17] Serovaiskii S.Ya., “Differentsirovanie obratnoi funktsii v nenormirovannykh prostranstvakh”, Funkts. analiz i ego pril., 27:4 (1993), 84–87 | MR | Zbl

[18] Serovaiskii S.Ya., “Neobkhodimye usloviya ekstremuma v sluchae nedifferentsiruemosti funktsii sostoyaniya po upravleniyu”, Differents. uravneniya, 31:6 (1995), 1055–1059 | MR | Zbl

[19] Lione Zh.-L., Nekotorye metody resheniya nelineinykh kraevykh zadach, Mir, M., 1972, 588 pp. | MR

[20] Averbukh V.I., Smolyanoe O.G., “Teoriya differentsirovaniya v lineinykh topologicheskikh prostranstvakh”, UMN, 22:6 (1967), 201–260 | MR | Zbl

[21] Kantorovich L.V., Akilov G.P., Funktsionalnyi analiz, Nauka, M., 1977, 742 pp. | MR | Zbl