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Relaxation of optimal control problems in Lp-SPACES

Published online by Cambridge University Press:  15 August 2002

Nadir Arada
Nadir Arada*
Affiliation:
UMR 5640 du CNRS, UFR MIG, Université Paul Sabatier, 31062 Toulouse Cedex 4, France; arada@mip.ups-tlse.fr.
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Abstract

We consider control problems governed by semilinear parabolic equations with pointwise state constraints and controls in an Lp-space (p < ∞). We construct a correct relaxed problem, prove some relaxation results, and derive necessary optimality conditions.

Keywords

Optimal control problemsrelaxationgeneralized Young measuresstability propertiesPontryagin's principle.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 6 , 2001 , pp. 73 - 95
Copyright
© EDP Sciences, SMAI, 2001

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