A new look at the controllability cost of linear evolution systems with a long gaze at localized data
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916091527168000 |
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| author | Bianchini, Roberta Laheurte, Vincent Sueur, Franck |
| author_facet | Bianchini, Roberta Laheurte, Vincent Sueur, Franck |
| contents | We revisit the classical issue of the controllability/observability cost of linear first order evolution systems, starting with ODEs, before turning to some linear first order evolution PDEs in several space dimensions, including hyperbolic systems and pseudo-differential systems obtained by linearization in fluid mechanics. In particular we investigate the cost of localized initial data, and in the dispersive case, of initial data which are semi-classically microlocalized. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07285 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A new look at the controllability cost of linear evolution systems with a long gaze at localized data Bianchini, Roberta Laheurte, Vincent Sueur, Franck Analysis of PDEs We revisit the classical issue of the controllability/observability cost of linear first order evolution systems, starting with ODEs, before turning to some linear first order evolution PDEs in several space dimensions, including hyperbolic systems and pseudo-differential systems obtained by linearization in fluid mechanics. In particular we investigate the cost of localized initial data, and in the dispersive case, of initial data which are semi-classically microlocalized. |
| title | A new look at the controllability cost of linear evolution systems with a long gaze at localized data |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2401.07285 |