0000000000653303

AUTHOR

U. Raitums

showing 2 related works from this author

On necessary optimality conditions for optimal control problems governed by elliptic systems

2005

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.

Mathematical optimizationControl and OptimizationElliptic systemsApplied MathematicsManagement Science and Operations ResearchOptimal controlCoefficient matrixHomogenization (chemistry)MathematicsOptimization
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On Γ-convergence of pairs of dual functionals

2011

Abstract The paper considers a slightly modified notion of the Γ-convergence of convex functionals in uniformly convex Banach spaces and establishes that under standard coercitivity and growth conditions the Γ-convergence of a sequence of functionals { F j } to F ˜ implies that the corresponding sequence of dual functionals { F j ⁎ } converges in an analogous sense to the dual to F ˜ functional F ˜ ⁎ .

SequencePure mathematicsDualityApplied MathematicsMathematical analysisRegular polygonBanach spaceDuality (optimization)Dual (category theory)Γ-convergenceΓ-convergenceConvergence (routing)Convex functionalsAnalysisMathematicsJournal of Mathematical Analysis and Applications
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