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Cannarsa, P.; Frankowska, H.

Value function and optimality condition for semilinear control problems. II: Parabolic case. (English) Zbl 0862.49021

Appl. Math. Optimization 33, No. 1, 1-33 (1996).
[For Part I see Appl. Math. Optimization 26, No. 2, 139-169 (1992; Zbl 0765.49001)].
Authors’ abstract: “In this paper we continue to study properties of the value function and of optimal solutions of a semilinear Mayer problem in infinite dimensions. Applications concern systems governed by a state equation of parabolic type. In particular, the issues of the joint Lipschitz continuity and semiconcavity of the value function are treated in order to investigate the differentiability of the value function along optimal trajectories”.
Reviewer: D.Franke (Hamburg)

Cited in 7 Documents

MSC:

49K20 Optimality conditions for problems involving partial differential equations
49L20 Dynamic programming in optimal control and differential games
47B44 Linear accretive operators, dissipative operators, etc.
49J52 Nonsmooth analysis
47D03 Groups and semigroups of linear operators

Keywords:

optimal control; analytic semigroups; distributed parameter systems; value function; semilinear Mayer problem; Lipschitz continuity; semiconcavity

Citations:

Zbl 0765.49001
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Full Text: DOI

References:

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