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Optimal control of a nonlinear elliptic population system

Published online by Cambridge University Press:  20 January 2009

Ovide Arino  and
Juan-Aurelio Montero-Sánchez
Ovide Arino
Affiliation:
IPRA, Département de Mathematiques 64000, Pau, France
Juan-Aurelio Montero-Sánchez
Affiliation:
Departamento de Análisis Matemático, Universidad de Granada, 18071 Granada, Spain
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Abstract

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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.

Keywords

optimal controlnonlinear elliptic systemsexistenceuniquenesslower–upper solutionsstrongly sublinear operators
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 43 , Issue 2 , June 2000 , pp. 225 - 241
Copyright
Copyright © Edinburgh Mathematical Society 2000

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