Geodesic
Second order sufficient optimality conditions for a class of elliptic control problems
E. Casas1 ; F. Tröltzsch2 ; A. Unger2
1Departamento de Matemática Aplicada y Ciencias de la Computación, E.T.S.I. Industriales y de Telecomunicación, Universidad de Cantabria, 39071 Santander, Spain
2Fakultät für Mathematik, Technische Universität Chemnitz-Zwickau, D-09107 Chemnitz, Germany
ESAIM. Proceedings, Tome 4 (1998), pp. 285-300
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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},
     year = {1998},
     volume = {4},
     doi = {10.1051/proc:1998034},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/proc:1998034/}
}
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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

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