<div class="csl-bib-body">
<div class="csl-entry">Le, M. T. (2024, November 14). <i>On global Eikonal equations</i> [Presentation]. AKOR Seminar, Wien, Austria.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/204781
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dc.description.abstract
Eikonal equations in metric spaces have strong connections with the local slope operator (or the De Giorgi slope). In this talk, we explore an analogous model based on the global slope operator, expressed as $G[u] = \ell$. In strong contrast with the classical theory, the global slope operator relies neither on the local properties of the functions nor on the structure of the space, and therefore new insights are developed in order to analyze the above equation. Under mild assumptions on the metric space $X$ and the given data $\ell$, we primarily discuss: (a) the existence and uniqueness of (pointwise) solutions; (b) a viscosity perspective and (c) a new integration formula based on the global slope of the given function.
en
dc.language.iso
en
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dc.subject
Metric space
en
dc.subject
Slope operators
en
dc.subject
viscosity
en
dc.title
On global Eikonal equations
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.type.category
Presentation
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tuw.publication.invited
invited
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tuw.researchTopic.id
A3
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tuw.researchTopic.name
Fundamental Mathematics Research
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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
0009-0007-7396-1987
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tuw.event.name
AKOR Seminar
de
tuw.event.startdate
14-11-2024
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tuw.event.enddate
14-11-2024
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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
Wien
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tuw.event.country
AT
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tuw.event.institution
VADOR, TU Wien
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tuw.event.presenter
Le, Minh Tri
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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.openairecristype
http://purl.org/coar/resource_type/R60J-J5BD
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item.languageiso639-1
en
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item.grantfulltext
none
-
item.fulltext
no Fulltext
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item.openairetype
conference presentation
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item.cerifentitytype
Publications
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crisitem.author.dept
E105-04 - Forschungsbereich Variationsrechnung, Dynamische Systeme und Operations Research
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crisitem.author.orcid
0009-0007-7396-1987
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crisitem.author.parentorg
E105 - Institut für Stochastik und Wirtschaftsmathematik
