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On the solution stability of parabolic optimal control problems

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Bibliographic Details
Main Authors: Alberto Domínguez, Corella, Nicolai, Jork, Vladimir M., Veliov
Format: Book
Language:English
Published: Springer 2023
Subjects:
semilinear parabolic partial differential equations
Hölder or Lipschitz dependence
Online Access:https://link.springer.com/article/10.1007/s10589-023-00473-4
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7609
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spelling oai:localhost:PNK-76092023-04-06T02:33:37Z On the solution stability of parabolic optimal control problems Alberto Domínguez, Corella Nicolai, Jork Vladimir M., Veliov semilinear parabolic partial differential equations Hölder or Lipschitz dependence CC BY 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. 2023-04-06T02:33:37Z 2023-04-06T02:33:37Z 2023 Book https://link.springer.com/article/10.1007/s10589-023-00473-4 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7609 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic semilinear parabolic partial differential equations
Hölder or Lipschitz dependence
spellingShingle semilinear parabolic partial differential equations
Hölder or Lipschitz dependence
Alberto Domínguez, Corella
Nicolai, Jork
Vladimir M., Veliov
On the solution stability of parabolic optimal control problems
description CC BY
format Book
author Alberto Domínguez, Corella
Nicolai, Jork
Vladimir M., Veliov
author_facet Alberto Domínguez, Corella
Nicolai, Jork
Vladimir M., Veliov
author_sort Alberto Domínguez, Corella
title On the solution stability of parabolic optimal control problems
title_short On the solution stability of parabolic optimal control problems
title_full On the solution stability of parabolic optimal control problems
title_fullStr On the solution stability of parabolic optimal control problems
title_full_unstemmed On the solution stability of parabolic optimal control problems
title_sort on the solution stability of parabolic optimal control problems
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s10589-023-00473-4
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7609
_version_ 1762456091608743936
score 8.881002

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