Null-controllability properties of the wave equation with a second order memory term
| dc.contributor.author | Biccari, Umberto | |
| dc.contributor.author | Micu, Sorin | |
| dc.date.accessioned | 2024-12-12T10:40:33Z | |
| dc.date.available | 2024-12-12T10:40:33Z | |
| dc.date.issued | 2019-07-05 | |
| dc.date.updated | 2024-12-12T10:40:33Z | |
| dc.description.abstract | We study the internal controllability of a wave equation with memory in the principal part, defined on the one-dimensional torus T=R/2πZ. We assume that the control is acting on an open subset ω(t)⊂T, which is moving with a constant velocity c∈R∖{−1,0,1}. The main result of the paper shows that the equation is null controllable in a sufficiently large time T and for initial data belonging to suitable Sobolev spaces. Its proof follows from a careful analysis of the spectrum associated with our problem and from the application of the classical moment method. | en |
| dc.identifier.citation | Biccari, U., & Micu, S. (2019). Null-controllability properties of the wave equation with a second order memory term. Journal of Differential Equations, 267(2), 1376-1422. https://doi.org/10.1016/J.JDE.2019.02.009 | |
| dc.identifier.doi | 10.1016/J.JDE.2019.02.009 | |
| dc.identifier.eissn | 1090-2732 | |
| dc.identifier.issn | 0022-0396 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.14454/2165 | |
| dc.language.iso | eng | |
| dc.publisher | Academic Press Inc. | |
| dc.rights | © 2019 Elsevier Inc. | |
| dc.subject.other | Memory | |
| dc.subject.other | Moment method | |
| dc.subject.other | Moving control | |
| dc.subject.other | Null controllability | |
| dc.subject.other | Wave equation | |
| dc.title | Null-controllability properties of the wave equation with a second order memory term | en |
| dc.type | journal article | |
| dcterms.accessRights | metadata only access | |
| oaire.citation.endPage | 1422 | |
| oaire.citation.issue | 2 | |
| oaire.citation.startPage | 1376 | |
| oaire.citation.title | Journal of Differential Equations | |
| oaire.citation.volume | 267 |