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dc.contributor.author
Cortázar, Carmen
dc.contributor.author
Quirós, Fernando
dc.contributor.author
Wolanski, Noemi Irene
dc.date.available
2022-08-29T15:50:22Z
dc.date.issued
2021-09
dc.identifier.citation
Cortázar, Carmen; Quirós, Fernando; Wolanski, Noemi Irene; Large-time behavior for a fully nonlocal heat equation; Springer; Vietnam Journal of Mathematics; 49; 3; 9-2021; 831-844
dc.identifier.issn
2305-221X
dc.identifier.uri
http://hdl.handle.net/11336/166837
dc.description.abstract
We study the large-time behavior in all Lp norms and in different space-time scales of solutions to a nonlocal heat equation in ℝN involving a Caputo α-time derivative and a power of the Laplacian (−Δ)s, s ∈ (0,1), extending recent results by the authors for the case s = 1. The initial data are assumed to be integrable, and, when required, to be also in Lp. The main novelty with respect to the case s = 1 comes from the behaviour in fast scales, for which, thanks to the fat tails of the fundamental solution of the equation, we are able to give results that are not available neither for the case s = 1 nor, to our knowledge, for the standard heat equation, s = 1, α = 1.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/
dc.subject
ASYMPTOTIC BEHAVIOR
dc.subject
CAPUTO DERIVATIVE
dc.subject
FRACTIONAL LAPLACIAN
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FULLY NONLOCAL HEAT EQUATION
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Large-time behavior for a fully nonlocal heat equation
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-08-23T20:46:39Z
dc.identifier.eissn
2305-2228
dc.journal.volume
49
dc.journal.number
3
dc.journal.pagination
831-844
dc.journal.pais
Suiza
dc.journal.ciudad
Cham
dc.description.fil
Fil: Cortázar, Carmen. Pontificia Universidad Católica de Chile; Chile
dc.description.fil
Fil: Quirós, Fernando. Universidad Autónoma de Madrid; España. Instituto de Ciencias Matemáticas; 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. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
dc.journal.title
Vietnam Journal of Mathematics
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10013-020-00452-w
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s10013-020-00452-w
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