We consider optimal distributed and boundary control problems for semilinear parabolic equations, where pointwise constraints on the control and pointwise mixed control-state constraints of bottleneck type are given. Our main result states the existence of regular Lagrange multipliers for the state-constraints. Under natural assumptions, we are able to show the existence of bounded and measurable Lagrange multipliers. The method is based on results from the theory of continuous linear programming problems
International audienceThis paper deals with optimal control problems of semilinear parabolic equatio...
AbstractThis paper deals with necessary conditions for optimal control problem governed by some semi...
This paper deals with optimal control problems governed by semilinear parabolic equations with point...
We consider optimal distributed and boundary control problems for semilinear parabolic equations, wh...
Abstract. We consider optimal distributed and boundary control problems for semilinear parabolic equ...
We consider optimal distributed and boundary control problems for semilinear parabolic equations, wh...
We consider a distributed optimal control problem governed by a semilinear parabolic equation, where...
The regularity of Lagrange multipliers for state-constrained optimal control problems belongs to the...
In this paper, optimal control problems for semilinear parabolic equations with distributed and boun...
The paper deals with optimal control problems for semilinear elliptic and parabolic PDEs subject to ...
Abstract. A class of optimal control problems for semilinear elliptic equations with mixed control-s...
An optimal control problem for a semilinear heat equation with distributed control is discussed, whe...
The paper deals with optimal control problems for semilinear elliptic and parabolic PDEs subject to ...
Abstract. We study the existence of optimal controls for problems governed by semilinear parabolic e...
Quadratic control problems for parabolic equations with state constraints are considered. Regularity...
International audienceThis paper deals with optimal control problems of semilinear parabolic equatio...
AbstractThis paper deals with necessary conditions for optimal control problem governed by some semi...
This paper deals with optimal control problems governed by semilinear parabolic equations with point...
We consider optimal distributed and boundary control problems for semilinear parabolic equations, wh...
Abstract. We consider optimal distributed and boundary control problems for semilinear parabolic equ...
We consider optimal distributed and boundary control problems for semilinear parabolic equations, wh...
We consider a distributed optimal control problem governed by a semilinear parabolic equation, where...
The regularity of Lagrange multipliers for state-constrained optimal control problems belongs to the...
In this paper, optimal control problems for semilinear parabolic equations with distributed and boun...
The paper deals with optimal control problems for semilinear elliptic and parabolic PDEs subject to ...
Abstract. A class of optimal control problems for semilinear elliptic equations with mixed control-s...
An optimal control problem for a semilinear heat equation with distributed control is discussed, whe...
The paper deals with optimal control problems for semilinear elliptic and parabolic PDEs subject to ...
Abstract. We study the existence of optimal controls for problems governed by semilinear parabolic e...
Quadratic control problems for parabolic equations with state constraints are considered. Regularity...
International audienceThis paper deals with optimal control problems of semilinear parabolic equatio...
AbstractThis paper deals with necessary conditions for optimal control problem governed by some semi...
This paper deals with optimal control problems governed by semilinear parabolic equations with point...