Relaxation of optimal control problems in ${𝖫}^{𝗉}$-spaces
ESAIM: Control, Optimisation and Calculus of Variations, Tome 6 (2001) , pp. 73-95.

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

Classification : 49K40,  49K20,  49J20
Mots clés : optimal control problems, relaxation, generalized Young measures, stability properties, Pontryagin's principle
@article{COCV_2001__6__73_0,
title = {Relaxation of optimal control problems in $\sf L^p$-spaces},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {73--95},
publisher = {EDP-Sciences},
volume = {6},
year = {2001},
zbl = {0965.49016},
mrnumber = {1804498},
language = {en},
url = {http://www.numdam.org/item/COCV_2001__6__73_0/}
}
Arada, Nadir. Relaxation of optimal control problems in $\sf L^p$-spaces. ESAIM: Control, Optimisation and Calculus of Variations, Tome 6 (2001) , pp. 73-95. http://www.numdam.org/item/COCV_2001__6__73_0/

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