Some remarks on existence results for optimal boundary control problems
Pablo Pedregal (2003)
ESAIM: Control, Optimisation and Calculus of Variations
Similarity:
An optimal control problem when controls act on the boundary can also be understood as a variational principle under differential constraints and no restrictions on boundary and/or initial values. From this perspective, some existence theorems can be proved when cost functionals depend on the gradient of the state. We treat the case of elliptic and non-elliptic second order state laws only in the two-dimensional situation. Our results are based on deep facts about gradient Young measures. ...