(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2014) Colli, Pierluigi; Gilardi, Gianni; Marinoschi, Gabriela; Rocca, Elisabetta
In this paper we study a distributed control problem for a phase-field
system of Caginalp type with logarithmic potential. The main aim of this work
would be to force the location of the diffuse interface to be as close as
possible to a prescribed set. However, due to the discontinuous character of
the cost functional, we have to approximate it by a regular one and, in this
case, we solve the associated control problem and derive the related first
order necessary optimality conditions.
