# Some remarks on existence results for optimal boundary control problems

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 9, page 437-448
- ISSN: 1292-8119

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topPedregal, Pablo. "Some remarks on existence results for optimal boundary control problems." ESAIM: Control, Optimisation and Calculus of Variations 9 (2010): 437-448. <http://eudml.org/doc/90704>.

@article{Pedregal2010,

abstract = {
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.
},

author = {Pedregal, Pablo},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Boundary controls; vector variational problems;
gradient Young measures.; boundary controls; gradient Young measures},

language = {eng},

month = {3},

pages = {437-448},

publisher = {EDP Sciences},

title = {Some remarks on existence results for optimal boundary control problems},

url = {http://eudml.org/doc/90704},

volume = {9},

year = {2010},

}

TY - JOUR

AU - Pedregal, Pablo

TI - Some remarks on existence results for optimal boundary control problems

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 9

SP - 437

EP - 448

AB -
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.

LA - eng

KW - Boundary controls; vector variational problems;
gradient Young measures.; boundary controls; gradient Young measures

UR - http://eudml.org/doc/90704

ER -

## References

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