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dc.contributor.author
Cortazar, Carmen  
dc.contributor.author
Quirós, Fernando  
dc.contributor.author
Wolanski, Noemi Irene  
dc.date.available
2024-09-09T15:45:17Z  
dc.date.issued
2023-10  
dc.identifier.citation
Cortazar, Carmen; Quirós, Fernando; Wolanski, Noemi Irene; Asymptotic profiles for inhomogeneous heat equations with memory; Springer; Mathematische Annalen; 389; 4; 10-2023; 3705-3746  
dc.identifier.issn
0025-5831  
dc.identifier.uri
http://hdl.handle.net/11336/243883  
dc.description.abstract
We study the large-time behavior in all L p norms of solutions to an inhomogeneous nonlocal heat equation in R N involving a Caputo α-time derivative and a power β of the Laplacian when the dimension is large, N > 4β. The asymptotic profiles depend strongly on the space-time scale and on the time behavior of the spatial L 1 norm of the forcing term.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
HEAT EQUATIONS WITH MEMORY  
dc.subject
CAPUTO DERIVATIVE  
dc.subject
FRACTIONAL LAPLACIAN  
dc.subject
FULLY NONLOCAL HEAT EQUATIONS  
dc.subject
LARGE-TIME BEHAVIOR  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Asymptotic profiles for inhomogeneous heat equations with memory  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2024-09-03T13:12:44Z  
dc.journal.volume
389  
dc.journal.number
4  
dc.journal.pagination
3705-3746  
dc.journal.pais
Alemania  
dc.journal.ciudad
Berlin  
dc.description.fil
Fil: Cortazar, Carmen. Pontificia Universidad Católica de Chile; Chile  
dc.description.fil
Fil: Quirós, Fernando. Universidad Autónoma de Madrid; España  
dc.description.fil
Fil: Wolanski, Noemi Irene. 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
Mathematische Annalen  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1007/s00208-023-02707-6  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00208-023-02707-6  

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