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Time optimal internal controls for the Lotka-McKendrick equation with spatial diffusion
hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
dc.contributor.author | HEGOBURU, Nicolas | |
dc.date.accessioned | 2024-04-04T03:04:10Z | |
dc.date.available | 2024-04-04T03:04:10Z | |
dc.date.issued | 2019-12 | |
dc.identifier.issn | 2156-8472 | |
dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/193128 | |
dc.description.abstractEn | This work is devoted to establish a bang-bang principle of time optimal controls for a controlled age-structured population evolving in a bounded domain of R^n. Here, the bang-bang principle is deduced by an L^∞ null-controllability result for the Lotka-McKendrick equation with spatial diffusion. This L^∞ null-controllability result is obtained by combining a methodology employed by Hegoburu and Tucsnak-originally devoted to study the null-controllability of the Lotka-McKendrick equation with spatial diffusion in the more classical L^2 setting-with a strategy developed by Wang, originally intended to study the time optimal internal controls for the heat equation. | |
dc.language.iso | en | |
dc.publisher | AIMS | |
dc.title.en | Time optimal internal controls for the Lotka-McKendrick equation with spatial diffusion | |
dc.type | Article de revue | |
dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
bordeaux.journal | Mathematical Control and Related Fields | |
bordeaux.page | 697-718 | |
bordeaux.volume | 9 | |
bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
bordeaux.issue | 4 | |
bordeaux.institution | Université de Bordeaux | |
bordeaux.institution | Bordeaux INP | |
bordeaux.institution | CNRS | |
bordeaux.peerReviewed | oui | |
hal.identifier | hal-01925980 | |
hal.version | 1 | |
hal.popular | non | |
hal.audience | Internationale | |
hal.origin.link | https://hal.archives-ouvertes.fr//hal-01925980v1 | |
bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mathematical%20Control%20and%20Related%20Fields&rft.date=2019-12&rft.volume=9&rft.issue=4&rft.spage=697-718&rft.epage=697-718&rft.eissn=2156-8472&rft.issn=2156-8472&rft.au=HEGOBURU,%20Nicolas&rft.genre=article |
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