Study of the optimal harvesting control for an elliptic problem with slow diffusion

In this paper our aim is to present a survey of known results of an optimal control problem with concave non-quadratic cost functional and a state equation arising from population dynamics. First, we study in detail the state equation, and then we show existence and uniqueness of optimal control and...

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Detalles Bibliográficos
Autor: Suárez Fernández, Antonio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/45031
Acceso en línea:http://hdl.handle.net/11441/45031
Access Level:acceso abierto
Palabra clave:Degenerate logistic equation
Optimal control
Optimality system
Descripción
Sumario:In this paper our aim is to present a survey of known results of an optimal control problem with concave non-quadratic cost functional and a state equation arising from population dynamics. First, we study in detail the state equation, and then we show existence and uniqueness of optimal control and also a numerical approximation of the optimal control.