Serovaiskii S. Ya.
Approximate solution of optimization problems for infinite-dimensional
An optimal control problem is considered for a system described by
a singular equation of parabolic type. The study bases on a special
regularization method. We establish existence of a solution to the regularized
problem, as well as the corresponding necessary optimality conditions.
The results enable us to find an approximate solution to the original
problem even in the absence of solvability.