STUDY OF AN OPTIMAL-CONTROL PROBLEM FOR DIFFUSIVE NONLINEAR ELLIPTIC-EQUATIONS OF LOGISTIC TYPE

Citation
A. Canada et al., STUDY OF AN OPTIMAL-CONTROL PROBLEM FOR DIFFUSIVE NONLINEAR ELLIPTIC-EQUATIONS OF LOGISTIC TYPE, SIAM journal on control and optimization, 36(4), 1998, pp. 1171-1189
Citations number
13
Categorie Soggetti
Mathematics,"Robotics & Automatic Control",Mathematics,"Robotics & Automatic Control
ISSN journal
03630129
Volume
36
Issue
4
Year of publication
1998
Pages
1171 - 1189
Database
ISI
SICI code
0363-0129(1998)36:4<1171:SOAOPF>2.0.ZU;2-J
Abstract
An optimal control problem for a nonlinear elliptic equation of logist ic type is considered. Under certain assumptions, the existence of at least an optimal control is shown and an optimality system is derived. Then this system is used for proving the uniqueness of and a construc tive approximation to the optimal control.