(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2006) Lefter, Catalin; Sprekels, Jürgen
In this paper, we study an optimal control problem for a singular
system of partial differential equations that models a nonisothermal phase
transition with a nonconserved order parameter. The control acts through a
third boundary condition for the absolute temperature and plays the role of
the outside temperature. It is shown that the corresponding control-to-state
mapping is well defined, and the existence of an optimal control and the
first-order optimality conditions for a quadratic cost functional of Bolza
type are established.
