Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology [Nulle contrôlabilité d'un système dégénéré de réaction-diffusion dans l'électique-physiologie du cœur]
| dc.contributor.author | Bendahmane, M. | |
| dc.contributor.author | Chaves-Silva, F.W. | |
| dc.date.accessioned | 2017-02-21T08:18:20Z | |
| dc.date.available | 2017-02-21T08:18:20Z | |
| dc.date.issued | 2012-12-31 | |
| dc.identifier.issn | 1631-073X | |
| dc.identifier.uri | http://hdl.handle.net/20.500.11824/580 | |
| dc.description.abstract | This Note is devoted to the analysis of the null controllability of a nonlinear reaction-diffusion system, approximating a parabolic-elliptic system, modeling electrical activity in the heart. The uniform, with respect to the degenerating parameter, null controllability of the approximating system by a single control force acting on a subdomain is shown. The proof needs a precise estimate with respect to the degenerating parameter and it is done combining Carleman estimates and energy inequalities. | |
| dc.format | application/pdf | |
| dc.language.iso | eng | en_US |
| dc.rights | Reconocimiento-NoComercial-CompartirIgual 3.0 España | en_US |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-sa/3.0/es/ | en_US |
| dc.title | Null controllability of a degenerated reaction-diffusion system in cardiac electro-physiology [Nulle contrôlabilité d'un système dégénéré de réaction-diffusion dans l'électique-physiologie du cœur] | |
| dc.type | info:eu-repo/semantics/article | en_US |
| dc.identifier.doi | 10.1016/j.crma.2012.06.006 | |
| dc.relation.publisherversion | https://www.scopus.com/inward/record.uri?eid=2-s2.0-84864813085&doi=10.1016%2fj.crma.2012.06.006&partnerID=40&md5=2ee22ce8d4aafb71c85e4909ad3b2380 | |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | en_US |
| dc.type.hasVersion | info:eu-repo/semantics/publishedVersion | en_US |
| dc.journal.title | Comptes Rendus Mathematique | en_US |
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