We study the optimal control of a steady-state dead oil isotherm problem. The
problem is described by a system of nonlinear partial differential equations
resulting from the traditional modelling of oil engineering within the
framework of mechanics of a continuous medium. Existence and regularity results
of the optimal control are proved, as well as necessary optimality conditions.Comment: This is a preprint of a paper whose final and definitive form will
appear in Control and Cybernetics. Paper submitted 24-Sept-2012; revised
21-March-2013; accepted for publication 17-April-2013. arXiv admin note: text
overlap with arXiv:math/061237