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Minimizing Sequences in Class-Qualified Deposit Problems

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Abstract

We study multidimensional control problems involving first-order partial differential equations. To ensure the existence of sufficiently regular multipliers (from the space \({C^{\ast}}\)) in the first-order necessary optimality conditions, some restrictions of the feasible domain have to be added. In particular, we investigate ‘class-qualified’ problems where the weak derivatives of \(x\) can be represented within a Baire function class. In the present paper, we prove conditions under which the original and the modified problems possess the same minimal values.

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  1. Department of Mathematics, Cottbus University of Technology, Karl-Marx-Strasse 17, PO Box 10 13 44, D-03013, Cottbus, Germany

    S. Pickenhain & M. Wagner

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  1. S. Pickenhain
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  2. M. Wagner
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Correspondence to S. Pickenhain.

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Pickenhain, S., Wagner, M. Minimizing Sequences in Class-Qualified Deposit Problems. Set-Valued Anal 14, 105–120 (2006). https://doi.org/10.1007/s11228-005-0010-4

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