Null controllability of linear heat and wave equations with nonlocal spatial terms
In this paper, we study the null controllability of linear heat and wave equations with spatial nonlocal integral terms. Under some analyticity assumptions on the corresponding kernel, we show that the equations are controllable. We employ compactness-uniqueness arguments in a suitable functional se...
| Authors: | ; ; |
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| Format: | Article |
| Status: | Published version |
| Publication date: | 2016 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/48559 |
| Online Access: | http://hdl.handle.net/11441/48559 https://doi.org/10.1137/15M1044291 |
| Access Level: | Open access |
| Keyword: | Null controllability Heat equation Wave equation Nonlocal terms |
| Summary: | In this paper, we study the null controllability of linear heat and wave equations with spatial nonlocal integral terms. Under some analyticity assumptions on the corresponding kernel, we show that the equations are controllable. We employ compactness-uniqueness arguments in a suitable functional setting, an argument that is harder to apply for heat equations because of its very strong time irreversibility. Some possible extensions and open problems concerning other nonlocal systems are presented. |
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