Speaker
José Francisco Rodrigues
(Universidade de Lisboa)
Description
In the classical obstacle problem, the corresponding optimal control of the variational inequality concerns usually its solution, i.e. the minimal supersolution of a Poisson equation lying above the obstacle, which is the control together with the external force. In this work we discuss the control of the free boundary in terms of different frameworks of the characteristic function of the coincidence set, which may be just a closed set, a set of finite perimeter or, in a special star-shaped geometry may have a Lipschitz free boundary.
Author
José Francisco Rodrigues
(Universidade de Lisboa)