Item Infomation


Title: 
On the solution stability of parabolic optimal control problems
Authors: 
Alberto Domínguez, Corella
Nicolai, Jork
Vladimir M., Veliov
Issue Date: 
2023
Publisher: 
Springer
Abstract: 
The paper investigates stability properties of solutions of optimal control problems constrained by semilinear parabolic partial differential equations. Hölder or Lipschitz dependence of the optimal solution on perturbations are obtained for problems in which the equation and the objective functional are affine with respect to the control. The perturbations may appear in both the equation and in the objective functional and may nonlinearly depend on the state and control variables.
Description: 
CC BY
URI: 
https://link.springer.com/article/10.1007/s10589-023-00473-4
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7609
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