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Roubíček, Tomáš
Time-optimal control of nonlinear parabolic systems with constrained derivative of control, existence theorem. (English). Kybernetika, vol. 20 (1984), issue 5, pp. 405-412
MSC: 35K55, 49A27, 49J20, 49J27, 49J30, 93C10, 93C20, 93C25 | MR 776329 | Zbl 0549.49003
References:
[1] N. U. Ahmed: Optimal control of a class of strongly nonlinear parabolic systems. J. Math. Anal. Appl. 61 (1977), 188-207. MR 0638047 | Zbl 0404.49021
[2] N. Bourbaki: Topologie générale. Hermann, Paris 1964. Russian translation: Obščaja topologija. Nauka, Moscow 1975. Zbl 0134.18203
[3] J. L. Lions: Quelqucs méthodes de résolution des problèmes aux limites non linéaires. Dunod et Gauthier-Villars, Paris 1969. Russian translation: Někotoryje metody rešenija nělinějnych krajevych zadač. Mir, Moscow 1972. MR 0259693
[4] J. L. Lions. : Controle optimal de systèmes gouvernés par des équation aux dérivées partielles. Dunod et Gauthier-Villars, Paris 1968. Russian translation: Optimaľnoje upravlenije sistěmami opisyvajemymi uravněnijami v častnych proizvodnych. Mir, Moscow 1972. MR 0244606
[5] P. Mankiewicz: On the differentiability of Lipschitz mappings in Fréchet spaces. Studia Math. 45 (1973), 15-29. MR 0331055 | Zbl 0219.46006
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