Geodesic
Some remarks on existence results for optimal boundary control problems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 437-448 Cet article a éte moissonné depuis la source Numdam

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An optimal control problem when controls act on the boundary can also be understood as a variational principle under differential constraints and no restrictions on boundary and/or initial values. From this perspective, some existence theorems can be proved when cost functionals depend on the gradient of the state. We treat the case of elliptic and non-elliptic second order state laws only in the two-dimensional situation. Our results are based on deep facts about gradient Young measures.

DOI : 10.1051/cocv:2003021
Classification : 49J20, 49J45
Keywords: boundary controls, vector variational problems, gradient Young measures 
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     author = {Pedregal, Pablo},
     title = {Some remarks on existence results for optimal boundary control problems},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {437--448},
     year = {2003},
     publisher = {EDP-Sciences},
     volume = {9},
     doi = {10.1051/cocv:2003021},
     mrnumber = {1998709},
     zbl = {1066.49005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv:2003021/}
}
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Pedregal, Pablo. Some remarks on existence results for optimal boundary control problems. ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 437-448. doi: 10.1051/cocv:2003021

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