Mostrar el registro sencillo del ítem
dc.contributor.author
Cortázar, Carmen
dc.contributor.author
Quirós, Fernando
dc.contributor.author
Wolanski, Noemi Irene
dc.date.available
2022-06-13T15:38:34Z
dc.date.issued
2021-06
dc.identifier.citation
Cortázar, Carmen; Quirós, Fernando; Wolanski, Noemi Irene; A heat equation with memory: large-time behavior; Academic Press Inc Elsevier Science; Journal of Functional Analysis; 281; 9; 6-2021; 1-40
dc.identifier.issn
0022-1236
dc.identifier.uri
http://hdl.handle.net/11336/159570
dc.description.abstract
We study the large-time behavior in all Lp norms of solutions to a heat equation with a Caputo α-time derivative posed in RN (0 < α < 1). These are known as subdiffusion equations. The initial data are assumed to be integrable, and, when required, to be also in Lp. We find that the decay rate in all Lp norms, 1 ≤ p ≤ ∞, depends greatly on the space-time scale under consideration. This result explains in particular the so called “critical dimension phenomenon” (cf. [21]). Moreover, we find the final profiles (that strongly depend on the scale). The most striking result states that in compact sets the final profile (in all Lp norms) is a multiple of the Newtonian potential of the initial datum.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Academic Press Inc Elsevier Science
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
ASYMPTOTIC BEHAVIOR
dc.subject
CAPUTO DERIVATIVE
dc.subject
HEAT EQUATION WITH NONLOCAL TIME DERIVATIVE
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
A heat equation with memory: large-time behavior
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-04-28T14:14:11Z
dc.journal.volume
281
dc.journal.number
9
dc.journal.pagination
1-40
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Cortázar, 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
Journal of Functional Analysis
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0022123621002561
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jfa.2021.109174
Archivos asociados