A lagrange multiplier theorem for control problems with state constraints

1 January 1998

journal article
research article
Published by Taylor & Francis in Numerical Functional Analysis and Optimization

Vol. 19 (7-8) , 697-704
https://doi.org/10.1080/01630569808816854

Abstract

We prove an existence theorem of Lagrange multipliers for an abstract control problem in Banach spaces. This theorem may be applied to obtain optimality conditions for control problems governed by partial differential equations in the presence of pointwise state constraints.

Keywords

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