Carleman estimates and controllability for a semi-discrete fourth-order parabolic equation

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dc.contributor.authorCerpa, Eduardo
dc.contributor.authorLecaros, Rodrigo
dc.contributor.authorNguyen, Thuy N. T.
dc.contributor.authorPerez, Ariel
dc.date.accessioned2025-01-20T21:03:43Z
dc.date.available2025-01-20T21:03:43Z
dc.date.issued2022
dc.description.abstractThe boundary controllability of fourth-order parabolic equations has been addressed in recent literature. However, there are no results concerning their numerical approximation and the behavior of discrete controls when the discretization parameter goes to zero. This paper is intended to cover this gap by studying this issue when the space operator is discretized and the time is kept as a continuous variable (semi-discrete approximation case). The proof is based on a relaxed observability inequality for the corresponding semi-discrete adjoint system and a suitable semi-discrete Carleman estimate.(c) 2022 Elsevier Masson SAS. All rights reserved.
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.matpur.2022.06.003
dc.identifier.eissn1776-3371
dc.identifier.issn0021-7824
dc.identifier.urihttps://doi.org/10.1016/j.matpur.2022.06.003
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/93173
dc.identifier.wosidWOS:000830831400004
dc.language.isoen
dc.pagina.final130
dc.pagina.inicio93
dc.revistaJournal de mathematiques pures et appliquees
dc.rightsacceso restringido
dc.subjectParabolicoperator
dc.subjectSemi-discretesystem
dc.subjectSemi-discreteCarlemanestimates
dc.subjectObservability
dc.subjectNullcontrollability
dc.titleCarleman estimates and controllability for a semi-discrete fourth-order parabolic equation
dc.typeartículo
dc.volumen164
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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