Approximations of optimal control problems for semilinear elliptic equations with discontinuous coefficients and states and with controls in the coefficients multiplying the highest derivatives
The authors study nonlinear optimal control problems for semilinear elliptic equations with discontinuous coefficients and with controls in the coefficients multiplying the highest derivatives. Finite difference approximations are constructed, and the approximation error is estimated. Weak convergence of the approximations with respect to the control is proved.
scientific article; zbMATH DE number 6700376
scientific article