On the variational stability of a class of nonlinear parabolic optimal control problems

 
This item is provided by the institution :

Repository :
Digital Library of National Technical University of Athens | Dspace@NTUA
see the original item page
in the repository's web site and access all digital files if the item*
share



Semantic enrichment by EKT
Journal part (EN)
Scientific article (EN)
1997 (EN)
On the variational stability of a class of nonlinear parabolic optimal control problems (EN)
Papageorgiou, NS (EN)
In this paper we study parametric optimal control problems governed by a nonlinear parabolic equation in divergence form. The parameter appears in all the data of the problem, including the partial differential operator. Using as tools the G-convergence of operators and the Γ-convergence of functionals, we show that the set-valued map of optimal pairs is upper semicontinuous with respect to the parameter and the optimal value function responds continuously to changes of the parameter. Finally in the case of semilinear systems we show that our framework can also incorporate systems with weakly convergent coefficients. © Australian Mathematical Society, 1997. (EN)
journalArticle (EN)
G-CONVERGENCE (EN)
Optimal Control Problem (EN)
Mathematics, Applied (EN)
OPERATORS (EN)
National Technical University of Athens
Digital Library of National Technical University of Athens | Dspace@NTUA
Κεντρική Βιβλιοθήκη Ε.Μ.Π.
Ιδρυματικό Αποθετήριο
Δημοσιεύσεις μελών Δ.Ε.Π. σε περιοδικά
Journal of the Australian Mathematical Society Series B-Applied Mathematics (EN)
English
1997 (EN)
http://hdl.handle.net/123456789/12383
10.1017/S033427000000922X (EN)
77 (EN)
1 (EN)
0334-2700 (EN)
39 (EN)
92 (EN)
ISI:A1997XR07300005 (EN)
AUSTRALIAN MATHEMATICS PUBL ASSOC INC (EN)



*Institutions are responsible for keeping their URLs functional (digital file, item page in repository site)