Geodesic
Second order sufficient optimality conditions for a class of elliptic control problems
E. Casas1 ; F. Tröltzsch2 ; A. Unger2
1 Departamento de Matemática Aplicada y Ciencias de la Computación, E.T.S.I. Industriales y de Telecomunicación, Universidad de Cantabria, 39071 Santander, Spain
2 Fakultät für Mathematik, Technische Universität Chemnitz-Zwickau, D-09107 Chemnitz, Germany
ESAIM. Proceedings, Tome 4 (1998), pp. 285-300.

Voir la notice de l'article provenant de la source EDP Sciences

In this paper we deal with a class of optimal control problems governed by elliptic equations with nonlinear boundary condition. The case of a boundary control is studied. We consider pointwise constraints on the control and certain equality and inequality constraints on the state. Second order sufficient conditions for local optimality of controls are derived.
DOI : 10.1051/proc:1998034

E. Casas 1 ; F. Tröltzsch 2 ; A. Unger 2

1 Departamento de Matemática Aplicada y Ciencias de la Computación, E.T.S.I. Industriales y de Telecomunicación, Universidad de Cantabria, 39071 Santander, Spain
2 Fakultät für Mathematik, Technische Universität Chemnitz-Zwickau, D-09107 Chemnitz, Germany 
@article{EP_1998_4_a17,
     author = {E. Casas and F. Tr\"oltzsch and A. Unger},
     title = {Second order sufficient optimality conditions for a class of elliptic control problems},
     journal = {ESAIM. Proceedings},
     pages = {285--300},
     publisher = {mathdoc},
     volume = {4},
     year = {1998},
     doi = {10.1051/proc:1998034},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1998034/}
}
TY  - JOUR
AU  - E. Casas
AU  - F. Tröltzsch
AU  - A. Unger
TI  - Second order sufficient optimality conditions for a class of elliptic control problems
JO  - ESAIM. Proceedings
PY  - 1998
SP  - 285
EP  - 300
VL  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/proc:1998034/
DO  - 10.1051/proc:1998034
LA  - en
ID  - EP_1998_4_a17
ER  - 
%0 Journal Article
%A E. Casas
%A F. Tröltzsch
%A A. Unger
%T Second order sufficient optimality conditions for a class of elliptic control problems
%J ESAIM. Proceedings
%D 1998
%P 285-300
%V 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/proc:1998034/
%R 10.1051/proc:1998034
%G en
%F EP_1998_4_a17
E. Casas; F. Tröltzsch; A. Unger. Second order sufficient optimality conditions for a class of elliptic control problems. ESAIM. Proceedings, Tome 4 (1998), pp. 285-300. doi : 10.1051/proc:1998034. http://geodesic.mathdoc.fr/articles/10.1051/proc:1998034/

Cité par Sources :