A lagrange multiplier theorem for control problems with state constraints - Archive ouverte HAL Access content directly
Journal Articles Numerical Functional Analysis and Optimization Year : 1998

A lagrange multiplier theorem for control problems with state constraints

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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.
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Dates and versions

hal-00993908 , version 1 (20-05-2014)

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  • HAL Id : hal-00993908 , version 1

Cite

Jean-Jacques Alibert, Jean-Pierre Raymond. A lagrange multiplier theorem for control problems with state constraints. Numerical Functional Analysis and Optimization, 1998, 19 (7-8), pp.51-73. ⟨hal-00993908⟩
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