<div class="csl-bib-body">
<div class="csl-entry">Casas Eduardo, Dominguez Corella, A., & Jork, N. A. (2022). <i>New assumptions for stability analysis in elliptic optimal control problems</i> (No. 2022–02). https://doi.org/10.34726/3064</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/136142
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dc.identifier.uri
https://doi.org/10.34726/3064
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dc.description.abstract
This paper is dedicated to the stability analysis of the optimal solutions of a control problem associated with a semilinear elliptic equation. The linear differential operator of the equation is neither monotone nor coercive due to the presence of a convection term. The control appears only linearly, or even it can not appear in a explicit form in the objective functional. Under new assumptions, we prove Lipschitz stability of the optimal controls and associated states with respect to perturbations in the equation and the objective functional as well as with respect to the Tikhonov regularization parameter.
en
dc.description.sponsorship
Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.language.iso
en
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dc.relation.ispartofseries
Research Reports
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dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
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dc.subject
control problems
en
dc.subject
semilinear elliptic equations
en
dc.subject
Tikhonov regularization
en
dc.title
New assumptions for stability analysis in elliptic optimal control problems
en
dc.type
Report
en
dc.type
Bericht
de
dc.rights.license
Urheberrechtsschutz
de
dc.rights.license
In Copyright
en
dc.identifier.doi
10.34726/3064
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dc.contributor.affiliation
Universidad de Cantabria, Spain
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dc.relation.issn
2521-313X
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dc.relation.grantno
I 4571-N
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dc.type.category
Research Report
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tuw.relation.ispartofseries
Research Reports
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tuw.project.title
Regularität von Abbildungen - Theorie und Anwendungen
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tuw.researchTopic.id
C4
-
tuw.researchTopic.id
A3
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tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
20
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tuw.researchTopic.value
80
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tuw.publication.orgunit
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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dc.identifier.libraryid
AC17202390
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dc.description.numberOfPages
21
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dc.rights.identifier
Urheberrechtsschutz
de
dc.rights.identifier
In Copyright
en
dc.identifier.reportid
2022-02
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dc.description.sponsorshipexternal
MCIN/ AEI/10.13039/501100011033
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dc.relation.grantnoexternal
PID2020-114837GB-I00
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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item.openaccessfulltext
Open Access
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item.cerifentitytype
Publications
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item.languageiso639-1
en
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item.openairecristype
http://purl.org/coar/resource_type/c_18ws
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item.grantfulltext
open
-
item.fulltext
with Fulltext
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item.mimetype
application/pdf
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item.openairetype
research report
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crisitem.author.dept
Universidad de Cantabria, Spain
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crisitem.author.dept
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
-
crisitem.author.dept
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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crisitem.author.parentorg
E105 - Institut für Stochastik und Wirtschaftsmathematik
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crisitem.author.parentorg
E105 - Institut für Stochastik und Wirtschaftsmathematik
