Optimal Control for the Degenerate Elliptic Logistic Equation

被引：0
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作者：
机构：
[1] Departamento Ecuaciones Diferenciales y Análisis Numérico,
[2] Facultad de Matemáticas,undefined
[3] C/ Tarfia s/n,undefined
[4] C.P. 41012,undefined
[5] Universidad de Sevilla,undefined
[6] Sevilla,undefined
[7] Spain {delgado,undefined
[8] suarez}@numer.us.es,undefined
[9] Departamento Análisis Matemático,undefined
[10] C.P. 18071,undefined
[11] Universidad de Granada,undefined
[12] Granada,undefined
[13] Spain jmontero@goliat.ugr.es Communicated by R. Triggiani,undefined
来源：
Applied Mathematics & Optimization | 2002年 / 45卷
关键词：
Key words. Degenerate logistic equation, Singular eigenvalue problems, Optimal control. AMS Classification. Primary 49J20, 49K20, 92D25, Secondary 35J65.;
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学科分类号：
摘要：
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.
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页码：325 / 345
页数：20
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