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dc.contributor.author
Vidal, Raúl Emilio
dc.date.available
2018-09-17T20:52:12Z
dc.date.issued
2017-10
dc.identifier.citation
Vidal, Raúl Emilio; Nonlocal heat equations in the Heisenberg group; Springer; Nonlinear Differential Equations And Applications; 24; 5; 10-2017; 1-21
dc.identifier.issn
1021-9722
dc.identifier.uri
http://hdl.handle.net/11336/59992
dc.description.abstract
We study the following nonlocal diffusion equation in the Heisenberg group Hn,ut(z,s,t)=J∗u(z,s,t)-u(z,s,t),where ∗ denote convolution product and J satisfies appropriated hypothesis. For the Cauchy problem we obtain that the asymptotic behavior of the solutions is the same form that the one for the parabolic equation for the fractional laplace operator. To obtain this result we use the spherical transform related to the pair (U(n) , Hn). Finally we prove that solutions of properly rescaled nonlocal Dirichlet problem converge uniformly to the solution of the corresponding Dirichlet problem for the classical heat equation in the Heisenberg group.
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
Heisenberg Group
dc.subject
Nonlocal Diffusion
dc.subject
Spherical Transform
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Nonlocal heat equations in the Heisenberg group
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-14T19:03:12Z
dc.journal.volume
24
dc.journal.number
5
dc.journal.pagination
1-21
dc.journal.pais
Suiza
dc.journal.ciudad
Basilea
dc.description.fil
Fil: Vidal, Raúl Emilio. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.journal.title
Nonlinear Differential Equations And Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs00030-017-0479-1
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s00030-017-0479-1
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