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References
V.BARBU,-Nonlinear Semigroups and Differential Equations in Banach Spaces, Noordhoff 1976.
V. BARBU,-Convex control problems and Hamiltonian systems on infinite intervals, SIAM J.Control and Optimiz. 16(1978), 687–702.
V. BARBU,-Necessary conditions for distributed control problems governed by parabolic variational inequalities, SIAM J.Control and Optimization 19(1981), 64–86.
V.BARBU, Th.PRECUPANU,-Convexity and Optimization in Banach Spaces, Noordhoff § Sijthoff 1978.
V.BARBU, G.DA PRATO,-Hamilton-Jacobi equations and synthesis of nonlinear control processes in Hilbert space, J.Diff.Equations (to appear).
V.BARBU, G.DA PRATO,-Existence and approximation for stationary Hamilton-Jacobi equations, J.Nonlinear Analysis 6(1981).
F.H. CLARKE,-Generalized gradients and applications, Trans. Amer. Math. Soc. 205(1975), 247–262.
F.H. CLARKE,-Generalized gradients of Lipschitz functionals, Advances in Math. 40(1981), 52–67.
H.O. FATTORINI,-The time optimal control problem in Banach space, Applied Math. § Optimiz. Volume 1 (1974), 163–188.
G. LEBOURG,-Valeur moyenne pour le gradient généralisé, C.R. Acad. Sci.Paris 281(1975), 795–797.
J.L. LIONS,-Quelques méthodes de resolution des problèmes aux limites non lineaires, Dunod Gauthier-Villars Paris 1969.
J.L.LIONS,-Optimal Control of Systems Governed by Partial Differential Equations, Springer-Verlag 1971.
R.T. ROCKAFELLAR,-Directionally lipschitzian functions and subdifferential calculus, Proc.London Math.Soc. 39(1979), 331–355.
R.T. ROCKAFELLAR,-Saddle points of Hamiltonian systems in convex problem of Lagrange, J.Optimiz. Theory Appl. 12(1973), 367–390.
I. VRABIE,-The nonlinear version of Pazy’s local existence theorem, Israel J.Math. 32(1979), 221–235.
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© 1983 Springer-Verlag
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Barbu, V. (1983). Optimal feedback controls for semilinear parabolic equations. In: Cecconi, J.P., Zolezzi, T. (eds) Mathematical Theories of Optimization. Lecture Notes in Mathematics, vol 979. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066248
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DOI: https://doi.org/10.1007/BFb0066248
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