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dc.contributor.author
Aimar, Hugo Alejandro  
dc.contributor.author
Gomez, Ivana Daniela  
dc.date.available
2023-11-09T12:28:28Z  
dc.date.issued
2022-09  
dc.identifier.citation
Aimar, Hugo Alejandro; Gomez, Ivana Daniela; On generalized divergence and Laplace operators as a matter of division of distributions; Polish Academy of Sciences. Institute of Mathematics; Studia Mathematica; 267; 3; 9-2022; 261-294  
dc.identifier.issn
0039-3223  
dc.identifier.uri
http://hdl.handle.net/11336/217589  
dc.description.abstract
Motivated by the approach to the Laplacian on undirected weighted graphs, we provide a setting for a general point of view for a Kirchhoff type divergence and a Laplace operator built on the trivial gradient f(y)−f(x) of order zero. We consider some particular classical and new instances of this approach and we introduce a notion of derivative as a tool for approximation of these operators.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Polish Academy of Sciences. Institute of Mathematics  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
LAPLACE OPERATOR  
dc.subject
FRACTIONAL LAPLACIAN  
dc.subject
DISCRETE LAPLACIAN  
dc.subject
GENERALIZED DIVERGENCE  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On generalized divergence and Laplace operators as a matter of division of distributions  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-11-08T13:00:11Z  
dc.journal.volume
267  
dc.journal.number
3  
dc.journal.pagination
261-294  
dc.journal.pais
Polonia  
dc.journal.ciudad
Varsovia  
dc.description.fil
Fil: Aimar, Hugo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina  
dc.description.fil
Fil: Gomez, Ivana Daniela. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina  
dc.journal.title
Studia Mathematica  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.impan.pl/pl/wydawnictwa/czasopisma-i-serie-wydawnicze/studia-mathematica/all/267/3/114536/on-generalized-divergence-and-laplace-operators-as-a-matter-of-division-of-distributions  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4064/sm200625-29-1  

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