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nonlinear elliptic systems

Proceedings of the Edinburgh Mathematical Society (1)

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Optimal control of a nonlinear elliptic population system
Ovide Arino, Juan-Aurelio Montero-Sánchez
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 43 / Issue 2 / June 2000

Published online by Cambridge University Press:

20 January 2009, pp. 225-241
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An optimal control for a nonlinear system is considered. The existence of an optimal-control pair, the characterization of the optimal control in terms of the optimal system and the uniqueness of solutions for the control problem are established. The uniqueness requires smallness assumptions on parameters in the functional.