The L∞-null controllability of parabolic equation with equivalued surface boundary conditions
In this paper, we obtain the L∞-null controllability of the parabolic equation with equivalued surface boundary conditions in Ω×[0,T]. The control is supported in the product of an open subset of Ω and a subset of [0,T] with positive measure. The main result is obtained by the method of Lebeau-Robbi...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2013 |
| País: | España |
| Institución: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/501 |
| Acceso en línea: | http://hdl.handle.net/20.500.11824/501 |
| Access Level: | acceso abierto |
| Palabra clave: | equivalued surface boundary condition L^∞-null controllability Lebeau-Robbiano iteration parabolic equation |
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The L∞-null controllability of parabolic equation with equivalued surface boundary conditionsLü, Q.Yin, Z.equivalued surface boundary conditionL^∞-null controllabilityLebeau-Robbiano iterationparabolic equationIn this paper, we obtain the L∞-null controllability of the parabolic equation with equivalued surface boundary conditions in Ω×[0,T]. The control is supported in the product of an open subset of Ω and a subset of [0,T] with positive measure. The main result is obtained by the method of Lebeau-Robbiano iteration, based on a new estimate for partial sum of the eigenfunctions of the elliptic operator with equivalued surface boundary conditions.201720172013info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/501reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84881447777&doi=10.3233%2fASY-131167&partnerID=40&md5=c4eb35ff8c252976b223d86544c80c91Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/5012026-06-19T12:47:47Z |
| dc.title.none.fl_str_mv |
The L∞-null controllability of parabolic equation with equivalued surface boundary conditions |
| title |
The L∞-null controllability of parabolic equation with equivalued surface boundary conditions |
| spellingShingle |
The L∞-null controllability of parabolic equation with equivalued surface boundary conditions Lü, Q. equivalued surface boundary condition L^∞-null controllability Lebeau-Robbiano iteration parabolic equation |
| title_short |
The L∞-null controllability of parabolic equation with equivalued surface boundary conditions |
| title_full |
The L∞-null controllability of parabolic equation with equivalued surface boundary conditions |
| title_fullStr |
The L∞-null controllability of parabolic equation with equivalued surface boundary conditions |
| title_full_unstemmed |
The L∞-null controllability of parabolic equation with equivalued surface boundary conditions |
| title_sort |
The L∞-null controllability of parabolic equation with equivalued surface boundary conditions |
| dc.creator.none.fl_str_mv |
Lü, Q. Yin, Z. |
| author |
Lü, Q. |
| author_facet |
Lü, Q. Yin, Z. |
| author_role |
author |
| author2 |
Yin, Z. |
| author2_role |
author |
| dc.subject.none.fl_str_mv |
equivalued surface boundary condition L^∞-null controllability Lebeau-Robbiano iteration parabolic equation |
| topic |
equivalued surface boundary condition L^∞-null controllability Lebeau-Robbiano iteration parabolic equation |
| description |
In this paper, we obtain the L∞-null controllability of the parabolic equation with equivalued surface boundary conditions in Ω×[0,T]. The control is supported in the product of an open subset of Ω and a subset of [0,T] with positive measure. The main result is obtained by the method of Lebeau-Robbiano iteration, based on a new estimate for partial sum of the eigenfunctions of the elliptic operator with equivalued surface boundary conditions. |
| publishDate |
2013 |
| dc.date.none.fl_str_mv |
2013 2017 2017 |
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info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
http://hdl.handle.net/20.500.11824/501 |
| url |
http://hdl.handle.net/20.500.11824/501 |
| dc.language.none.fl_str_mv |
Inglés |
| language_invalid_str_mv |
Inglés |
| dc.relation.none.fl_str_mv |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84881447777&doi=10.3233%2fASY-131167&partnerID=40&md5=c4eb35ff8c252976b223d86544c80c91 |
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Reconocimiento-NoComercial-CompartirIgual 3.0 España http://creativecommons.org/licenses/by-nc-sa/3.0/es/ info:eu-repo/semantics/openAccess |
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Reconocimiento-NoComercial-CompartirIgual 3.0 España http://creativecommons.org/licenses/by-nc-sa/3.0/es/ |
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openAccess |
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application/pdf |
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reponame:BIRD. BCAM's Institutional Repository Data instname:Basque Center for Applied Mathematics (BCAM) |
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Basque Center for Applied Mathematics (BCAM) |
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BIRD. BCAM's Institutional Repository Data |
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BIRD. BCAM's Institutional Repository Data |
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1869409305427443712 |
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15,301603 |