<div class="csl-bib-body">
<div class="csl-entry">Daniilidis, A. (2025, June 26). <i>Pathological Lipschitz functions</i> [Presentation]. Seminar, Universita Cattolica del Sacro Cuore, Mailand, Italy. http://hdl.handle.net/20.500.12708/220768</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/220768
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dc.description.abstract
We focus on the difference between differentiable versus strict differentiable locally Lipschitz functions from the view point of nonsmooth analysis: while in the latter class, all limiting Jacobians are singletons, we show that there exists a differentiable locally Lipschitz function whose limiting Jacobian represents all nonempty compact connected subsets of matrices. In the particular case of real-valued functions, we obtain differentiable functions with surjective limiting and Clarke subdifferentias.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.subject
Differentiable Lipschitz function
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dc.subject
Convex body
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dc.subject
Limiting Jacobean
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dc.title
Pathological Lipschitz functions
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.relation.grantno
P 36344N
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dc.type.category
Presentation
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tuw.publication.invited
invited
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tuw.project.title
Unilateralität und Asymmetrie in der Variationsanalyse
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tuw.researchTopic.id
A4
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tuw.researchTopic.name
Mathematical Methods in Economics
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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tuw.author.orcid
0000-0003-4837-694X
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tuw.event.name
Seminar, Universita Cattolica del Sacro Cuore
en
tuw.event.startdate
26-06-2025
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tuw.event.enddate
26-06-2025
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.place
Mailand
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tuw.event.country
IT
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tuw.event.institution
Universita Cattolica del Sacro Cuore
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tuw.event.presenter
Daniilidis, Aris
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dc.relation.ispreviousversionof
https://doi.org/10.48550/arXiv.2405.09206
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tuw.event.track
Single Track
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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.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/R60J-J5BD
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item.grantfulltext
none
-
item.openairetype
conference presentation
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item.fulltext
no Fulltext
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item.languageiso639-1
en
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crisitem.project.funder
FWF - Österr. Wissenschaftsfonds
-
crisitem.project.grantno
P 36344N
-
crisitem.author.dept
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
-
crisitem.author.orcid
0000-0003-4837-694X
-
crisitem.author.parentorg
E105 - Institut für Stochastik und Wirtschaftsmathematik
