An evolutive optimal harvesting problem with measure valued solutions
Giuseppe Coclite, University of Bari.
In this lecture we consider a model for the harvesting of marine resources, described by a parabolic equation. Since the cost functionals have sublinear growth with respect to the pointwise intensity of fishing effort, optimal solutions are in general measure-valued. For the control problem, we prove the existence of optimal strategies. The results were obtained in collaboration with Professor Mauro Garavello.