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dc.contributor.author
Cortázar, Carmen
dc.contributor.author
Quirós, Fernando
dc.contributor.author
Wolanski, Noemi Irene
dc.date.available
2022-08-31T19:14:43Z
dc.date.issued
2021-07
dc.identifier.citation
Cortázar, Carmen; Quirós, Fernando; Wolanski, Noemi Irene; Decay/growth rates for inhomogeneous heat equations with memory. The case of large dimensions; American Institute of Mathematical Sciences; Mathematics In Engineering; 4; 3; 7-2021; 1-17
dc.identifier.issn
2640-3501
dc.identifier.uri
http://hdl.handle.net/11336/167085
dc.description.abstract
We study the decay/growth rates in all Lp norms of solutions to an inhomogeneousnonlocal heat equation in RN involving a Caputo -time derivative and a power of the Laplacianwhen the dimension is large, N > 4. Rates depend strongly on the space-time scale andon the time behavior of the spatial L1 norm of the forcing term.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
American Institute of Mathematical Sciences
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/
dc.subject
CAPUTO DERIVATIVE
dc.subject
FRACTIONAL LAPLACIAN
dc.subject
FULLY NONLOCAL HEAT EQUATIONS
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HEAT EQUATION WITH NONLOCAL TIME DERIVATIVE
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LARGE-TIME BEHAVIOR
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Decay/growth rates for inhomogeneous heat equations with memory. The case of large dimensions
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-08-23T20:46:46Z
dc.journal.volume
4
dc.journal.number
3
dc.journal.pagination
1-17
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Springfield
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. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
dc.journal.title
Mathematics In Engineering
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.3934/mine.2022022
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.aimspress.com/article/doi/10.3934/mine.2022022
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