Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem

Mathematics – Optimization and Control

Scientific paper

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9 pages

Scientific paper

10.1007/s10957-007-9244-7

We study a system of nonlinear partial differential equations resulting from
the traditional modelling of oil engineering within the framework of the
mechanics of a continuous medium. Recent results on the problem provide
existence, uniqueness and regularity of the optimal solution. Here we obtain
the first necessary optimality conditions.

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