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dc.contributor.author
Pinasco, Juan Pablo  
dc.contributor.author
Scarola, Cristian  
dc.date.available
2023-09-27T17:41:29Z  
dc.date.issued
2021-03  
dc.identifier.citation
Pinasco, Juan Pablo; Scarola, Cristian; A nodal inverse problem for measure geometric Laplacians; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 94; 105542; 3-2021; 1-9  
dc.identifier.issn
1007-5704  
dc.identifier.uri
http://hdl.handle.net/11336/213315  
dc.description.abstract
In this work we start the study of the nodal inverse problem for measure geometric Laplacians in the real line. We analyze the information contained in the set of zeros of eigenfunctions of −Δμ, and we show that it is enough to recover the support of μ. Also, we prove an uniqueness result, and we introduce a method to recover a measure ν absolutely continuous with respect to some measure μ with a continuous Radon-Nikodym derivative given the nodal points of the eigenfunctions.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Science  
dc.rights
info:eu-repo/semantics/restrictedAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/  
dc.subject
EIGENVALUES  
dc.subject
FRACTAL LAPLACIANS  
dc.subject
NODAL INVERSE PROBLEM  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
A nodal inverse problem for measure geometric Laplacians  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2023-09-27T13:54:18Z  
dc.journal.volume
94  
dc.journal.number
105542  
dc.journal.pagination
1-9  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Pinasco, Juan Pablo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina  
dc.description.fil
Fil: Scarola, Cristian. Universidad Nacional de La Pampa; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina  
dc.journal.title
Communications In Nonlinear Science And Numerical Simulation  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.cnsns.2020.105542  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1007570420303725  

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