Abstract
This paper gives an overview over the results concerning necessary and sufficient optimality conditions for optimal control problems with multiple integrals and first order partial differential equations. Second order sufficiency conditions are illustrated by the problem of minimal k-energy in an n-dimensional space. It can be shown by the developed theory that a certain cone has strong minimizing properties.
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Pickenhain, S., Wagner, M. (2001). Optimal Control Problems with a First Order PDE System — Necessary and Sufficient Optimality Conditions. In: Grötschel, M., Krumke, S.O., Rambau, J. (eds) Online Optimization of Large Scale Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-04331-8_11
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DOI: https://doi.org/10.1007/978-3-662-04331-8_11
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