| Issue |
ESAIM: COCV
Volume 6, 2001
|
|
|---|---|---|
| Page(s) | 73 - 95 | |
| DOI | https://doi.org/10.1051/cocv:2001104 | |
| Published online | 15 August 2002 | |
Relaxation of optimal control problems in Lp-SPACES
UMR 5640 du CNRS, UFR MIG, Université Paul Sabatier,
31062 Toulouse Cedex 4, France; arada@mip.ups-tlse.fr.
Received:
30
June
1999
Revised:
27
June
2000
Revised:
24
October
2000
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.
Mathematics Subject Classification: 49K40 / 49K20 / 49J20
Key words: Optimal control problems / relaxation / generalized Young measures / stability properties / Pontryagin's principle.
© EDP Sciences, SMAI, 2001
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