Some remarks on existence results for optimal boundary control problems
ESAIM: Control, Optimisation and Calculus of Variations, Tome 9 (2003), pp. 437-448.

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
Mots clés : boundary controls, vector variational problems, gradient Young measures 
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     title = {Some remarks on existence results for optimal boundary control problems},
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     pages = {437--448},
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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. http://www.numdam.org/articles/10.1051/cocv:2003021/

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