9 research outputs found
Optimal control of obstacle problems : existence of Lagrange multipliers
We study first order optimality systems for the control of a system governed by a variational inequality and deal with Lagrange multipliers : is it possible to associate to each pointwise constraint a multiplier to get a ``good'' optimality system ? We give positive and negative answers for the finite and infinite dimensional cases. These results are compared with the previous ones got by penalization or differentiation
Optimal Control of Obstacle Problems: Existence of Lagrange Multipliers
We study first order optimality systems for the control of a system
governed by a variational
inequality and deal with Lagrange multipliers: is
it possible to associate to each pointwise constraint a multiplier
to get a “good” optimality system?
We give
positive and negative answers for the finite and infinite dimensional cases.
These results are compared with
the previous ones got by penalization or differentiation