The periodic KdV with control on space-time measurable sets
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866916849790222336 |
|---|---|
| author | Niu, Jingrui Wang, Ming Xiang, Shengquan |
| author_facet | Niu, Jingrui Wang, Ming Xiang, Shengquan |
| contents | In this paper, we establish the local exact controllability of the KdV equation on torus around equilibrium states, where both the spatial control region and the temporal control region are sets of positive measure. The proof is based on a novel strategy for proving observability inequalities on space-time measurable sets. This approach is applicable to a broad class of dispersive equations on torus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_13740 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The periodic KdV with control on space-time measurable sets Niu, Jingrui Wang, Ming Xiang, Shengquan Analysis of PDEs Optimization and Control 35Q53, 42A99, 76B15, 93C20 In this paper, we establish the local exact controllability of the KdV equation on torus around equilibrium states, where both the spatial control region and the temporal control region are sets of positive measure. The proof is based on a novel strategy for proving observability inequalities on space-time measurable sets. This approach is applicable to a broad class of dispersive equations on torus. |
| title | The periodic KdV with control on space-time measurable sets |
| topic | Analysis of PDEs Optimization and Control 35Q53, 42A99, 76B15, 93C20 |
| url | https://arxiv.org/abs/2507.13740 |