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Local existence for a nonlinear operator equation arising in synthesis of optimal control. (English) Zbl 0445.49027

MSC:
49K27 Optimality conditions for problems in abstract spaces
93C10 Nonlinear systems in control theory
49K15 Optimality conditions for problems involving ordinary differential equations
47H05 Monotone operators and generalizations
47D03 Groups and semigroups of linear operators
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References:
[1] Lions J.L, Contrôle optimal pour des systèmes gouvémees par des é equations aux dérlvées partlelles
[2] Prato G.Da, J. Math, pures et appl. 52 pp 353– (1973)
[3] Temamt, R. 1971.Sur Iéquation de Riccatl assoclé e à des opérateurs non bornés en dimension Infinle, 10–45. J Functional Analysis.
[4] Tartar L., J.Functional Analysis 6 pp 1– (1974) · Zbl 0293.49004
[5] Barbu V., Necessary conditions for distribuited control problems governed by parabolic inequalities · Zbl 0474.49024
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