Stability of elliptic optimal control problems
✍ Scribed by S. Walczak; U. Ledzewicz; H. Schättler
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 567 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
We consider optimal control problems governed by elliptic equations depending on parameters and give sufficient conditions for the continuous dependence of the solutions on the parameters. The techniques are based on variational methods. (~) 2001 Elsevier Science Ltd. All rights reserved.
📜 SIMILAR VOLUMES
The control problem with multidimensional integral functional under elliptic-type constraints for state and control is considered. Next, a type of deformation with control of the domain is described and then we define a suitable shape functional. Having defined trajectory and control of deformation,
(H 2 ) There exist c 1 ¿ 0, c 2 ∈ [0; 1) such that 0 6 f(x; t) 6 c 1 t p-1 + c 2 t for all x ∈ , t ¿ 0, where 2 ¡ p ¡ 2n=(n -2).