an:05251698
Zbl 1287.49005
Hoffmann, Karl-Heinz; Kenmochi, Nobuyuki; Kubo, Masahiro; Yamazaki, Noriaki
Optimal control problems for models of phase-field type with hysteresis of play operator
EN
Adv. Math. Sci. Appl. 17, No. 1, 305-336 (2007).
00209866
2007
j
49J20 35K51 47J40 49K20 80A22
In this paper the authors consider optimal control problems for models of phase-field type with hysteresis of play operator. The system which is analysed consists of two parabolic PDEs: the heat equation and the kinetic equation of an order parameter with linear double obstacles depending also on the temperature. The authors prove the existence of an optimal source control for the system and show the relationship between the control problem and its approximation; in addition they give a necessary condition for an optimal control of the original problem using one of the approximate problems.
Michela Eleuteri (MR2337381)