Please use this identifier to cite or link to this item:
https://hdl.handle.net/11147/8808
Title: | An elementary proof of the lack of null controllability for the heat equation on the half line | Authors: | Kalimeris, Konstantinos Özsarı, Türker |
Keywords: | Fokas method Unified transform Boundary controllability Null controllability |
Issue Date: | 2020 | Publisher: | Elsevier | 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. | URI: | https://doi.org/10.1016/j.aml.2020.106241 https://hdl.handle.net/11147/8808 |
ISSN: | 0893-9659 |
Appears in Collections: | Mathematics / Matematik Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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1-s2.0-S0893965920300343-main.pdf | 675.06 kB | Adobe PDF | View/Open |
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