Raymond, Jean-Pierre; Tröltzsch, Fredi : Second Order Sufficient Optimality Conditions for Nonlinear Parabolic Control Problems with State Constraints

Author(s) :

Raymond, Jean-Pierre; Tröltzsch, Fredi

Title :

Second Order Sufficient Optimality Conditions for Nonlinear Parabolic Control Problems with State Constraints

Electronic source :

[gzipped ps-file] 85 kB

Preprint series

Technische Universität Chemnitz, Fakultät für Mathematik (Germany). Preprint 98-16, 1998

Mathematics Subject Classification :

49K20 [ Optimal control problems with PDE (nec./ suff.) ]

35J25 [ Second order elliptic equations, boundary value problems ]

Abstract :

In this paper, optimal control problems for semilinear parabolic equations with distributed and boundary controls are considered. Pointwise constraints on the control and on the state are given. Main emphasis is laid on the discussion of second order sufficient optimality conditions. Sufficiency for local optimality is verified under different assumptions imposed on the dimension of the domain and on the smoothness of the given data.

Keywords :

Boundary control, distributed control, semilinear parabolic equations, sufficient optimality conditions, pointwise state constraints

Language :

english

Publication time :

7/1998