ISSN:
1432-0606
Keywords:
Optimal control
;
Value function
;
Analytic semigroups
;
Semiconcave functions
;
Distributed parameter systems
;
49K20
;
49L20
;
47B44
;
49J52
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01187960