Optimal Control for the Degenerate Elliptic Logistic Equation

Journal Article · Wed Jun 05 00:00:00 EDT 2002 · Applied Mathematics and Optimization

DOI:https://doi.org/10.1007/S00245-001-0039-1· OSTI ID:21067489

Montero, J A ^[1]; ugr es, E-mail: jmontero@goliat

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1. Departamento Analisis Matematico, C.P. 18071, Universidad de Granada, Granada (Spain)

We consider the optimal control of harvesting the diffusive degenerate elliptic logistic equation. Under certain assumptions, we prove the existence and uniqueness of an optimal control. Moreover, the optimality system and a characterization of the optimal control are also derived. The sub-supersolution method, the singular eigenvalue problem and differentiability with respect to the positive cone are the techniques used to obtain our results.

• OSTI ID: 21067489
• Journal Information: Applied Mathematics and Optimization, Vol. 45, Issue 3; Other Information: DOI: 10.1007/s00245-001-0039-1; Copyright (c) 2002 Springer-Verlag New York Inc.; Article Copyright (c) Inc. 2002 Springer-Verlag New York; Country of input: International Atomic Energy Agency (IAEA); ISSN 0095-4616
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONES
CONTROL THEORY
EIGENVALUES
EQUATIONS
OPTIMAL CONTROL