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dc.contributor.author
Ojea, Ignacio  
dc.date.available
2024-05-06T17:49:26Z  
dc.date.issued
2024-01  
dc.identifier.citation
Ojea, Ignacio; Anisotropic regularity for elliptic problems with Dirac measures as data; Academic Press Inc.; Journal of Mathematical Analysis and Applications; 535; 1; 1-2024; 1-39, 128104  
dc.identifier.uri
http://hdl.handle.net/11336/234645  
dc.description.abstract
We study the Possion problem with singular data given by a source supported on a one dimensional curve strictly contained in a three dimensional domain. We prove regularity results for the solution on isotropic and on anisotropic weighted spaces of Kondratiev type. Our technique is based on the study of a regularized problem. This allows us to exploit the local nature of the singularity. Our results hold with very few smoothness hypotheses on the domain and on the support of the data. We also discuss some extensions of our main results, including the two dimensional case, sources supported on closed curves and on polygonals.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Academic Press Inc.  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
SINGULAR LINE  
dc.subject
ANISOTROPY  
dc.subject
DIRAC DELTA  
dc.subject
SINGULAR DATA  
dc.subject
WEIGHTED SOBOLEV SPACES  
dc.subject.classification
Matemática Aplicada  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Anisotropic regularity for elliptic problems with Dirac measures as data  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2024-05-03T13:57:10Z  
dc.identifier.eissn
1096-0813  
dc.journal.volume
535  
dc.journal.number
1  
dc.journal.pagination
1-39, 128104  
dc.journal.pais
Estados Unidos  
dc.description.fil
Fil: Ojea, Ignacio. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. 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.journal.title
Journal of Mathematical Analysis and Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/abs/pii/S0022247X24000258?via%3Dihub  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2024.128104  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/2306.00930