SIAM Journal on Control and Optimization, Vol.44, No.1, 268-282, 2005
Analysis of optimal control problems for the two-dimensional thermistor system
An optimal control problem for the thermistor system is considered. First, the precise mathematical problem is established and the proof of existence of the optimal solution is given with appropriate function spaces. Then, Gateaux differentiability is shown for the thermistor system, with respect to control, and the optimality system is obtained.