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Necessary Optimality Conditions for a Dead Oil Isotherm Optimal Control Problem

Moulay Rchid Sidi Ammi, Delfim F. M. Torres

Published 2006-12-13Version 1

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.

Comments: 9 pages
Journal: J. Optim. Theory Appl., Vol. 135 (2007), Nr. 1, pp. 135-143
Categories: math.OC, math.AP
Subjects: 49K20, 35K55
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