6533b829fe1ef96bd128ac4b
RESEARCH PRODUCT
On necessary optimality conditions for optimal control problems governed by elliptic systems
U. RaitumsW. H. Schmidtsubject
Mathematical optimizationControl and OptimizationElliptic systemsApplied MathematicsManagement Science and Operations ResearchOptimal controlCoefficient matrixHomogenization (chemistry)Mathematicsdescription
The article considers an optimal control problem for the linear elliptic system div for the case where the coefficient matrix A plays the role of control and belongs to a nonconvex set and the cost functional is a quadratic form with respect to . By transforming the original problem to a more suitable one and by using ideas from the homogenization theory a necessary optimality condition is derived.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2005-04-01 | Optimization |