| Issue |
ESAIM: COCV
Volume 9, February 2003
|
|
|---|---|---|
| Page(s) | 437 - 448 | |
| DOI | https://doi.org/10.1051/cocv:2003021 | |
| Published online | 15 September 2003 | |
Some remarks on existence results for optimal boundary control problems
ETSI Industriales,
Universidad de Castilla-La Mancha, 13071 Ciudad
Real, Spain; Pablo.Pedregal@uclm.es.
Received:
12
June
2002
Revised:
17
October
2002
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.
Mathematics Subject Classification: 49J20 / 49J45
Key words: Boundary controls / vector variational problems / gradient Young measures.
© EDP Sciences, SMAI, 2003
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