An Elementary Proof of the Lack of Null Controllability for the Heat Equation on the Half Line
| dc.contributor.author | Kalimeris, Konstantinos | |
| dc.contributor.author | Özsarı, Türker | |
| dc.coverage.doi | 10.1016/j.aml.2020.106241 | |
| dc.date.accessioned | 2020-07-18T08:31:26Z | |
| dc.date.available | 2020-07-18T08:31:26Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | In this note, we give an elementary proof of the lack of null controllability for the heat equation on the half line by employing the machinery inherited by the unified transform, known also as the Fokas method. This approach also extends in a uniform way to higher dimensions and different initial-boundary value problems governed by the heat equation, suggesting a novel methodology for studying problems related to controllability. (C) 2020 Elsevier Ltd. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.aml.2020.106241 | en_US |
| dc.identifier.doi | 10.1016/j.aml.2020.106241 | |
| dc.identifier.issn | 0893-9659 | |
| dc.identifier.scopus | 2-s2.0-85078101377 | |
| dc.identifier.uri | https://doi.org/10.1016/j.aml.2020.106241 | |
| dc.identifier.uri | https://hdl.handle.net/11147/8808 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.relation.ispartof | Applied Mathematics Letters | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Fokas method | en_US |
| dc.subject | Unified transform | en_US |
| dc.subject | Boundary controllability | en_US |
| dc.subject | Null controllability | en_US |
| dc.title | An Elementary Proof of the Lack of Null Controllability for the Heat Equation on the Half Line | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Özsarı, Türker | |
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| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.collaboration.industrial | false | |
| gdc.description.department | İzmir Institute of Technology. Mathematics | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.volume | 104 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2970444930 | |
| gdc.identifier.wos | WOS:000521510800004 | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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