Record link: 
http://hdl.handle.net/20.500.12708/190595
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Title: 
Solution stability of parabolic optimal control problems with fixed state-distribution of the controls
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Citation: 
Dominguez Corella, A., Jork, N. A., & Veliov, V. (2023). Solution stability of parabolic optimal control problems with fixed state-distribution of the controls. Serdica Mathematical Journal, 49(1–3), 155–186. https://doi.org/10.55630/serdica.2023.49.155-186
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Publisher DOI: 
10.55630/serdica.2023.49.155-186
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Publication Type: 
Article - Original Research Article
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Language: 
English
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Authors: 
Dominguez Corella, Alberto 
Jork, Nicolai Alexander 
Veliov, Vladimir 
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Organisational Unit: 
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research 
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Journal: 
Serdica Mathematical Journal 
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ISSN: 
1310-6600
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Date (published): 
20-Nov-2023
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Number of Pages: 
32
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Publisher: 
Bulgarian Academy of Sciences
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Peer reviewed: 
No
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Keywords: 
optimal control; parabolic PDE; stability with respect to perturbations
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Abstract: 
The paper presents results about strong metric subregularity of the optimality mapping associated with the system of first order necessary optimality conditions for a problem of optimal control of a semilinear parabolic equation. The control has a predefined spacial distribution and only the magnitude at any time is a subject of choice. The obtained conditions for subregularity imply, in particular, sufficient optimality conditions that extend the known ones. The paper is complementary to a companion one by the same authors, in which a distributed control is considered.
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Project title: 
Regularität von Abbildungen - Theorie und Anwendungen: I 4571-N (FWF - Österr. Wissenschaftsfonds) 
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Research Areas: 
Mathematical and Algorithmic Foundations: 20%
Fundamental Mathematics Research: 80%
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Science Branch: 
1010 - Mathematik: 100%
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