Null-controllability of the Generalized Baouendi-Grushin heat like equations
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | JAMING, Philippe | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | WANG, Yunlei | |
| dc.date.accessioned | 2024-04-04T02:30:05Z | |
| dc.date.available | 2024-04-04T02:30:05Z | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/190234 | |
| dc.description.abstractEn | In this article, we prove null-controllability results for the heat equation associated tofractional Baouendi-Grushin operators $$\partial_t u+\bigl(-\Delta_x-V(x)\Delta_y\bigr)^s u=\un_\Omega h$$where $V$ is a potential that satisfies some power growth conditions and the set $\Omega$is thick in some sense. This extends previously known results for potentials $V(x)=|x|^{2k}$.To do so, we study Zhu-Zhuge's spectral inequality for Schrödinger operators with power growth potentials, and give a precised quantitative form of it. | |
| dc.language.iso | en | |
| dc.title.en | Null-controllability of the Generalized Baouendi-Grushin heat like equations | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Optimisation et contrôle [math.OC] | |
| dc.identifier.arxiv | 2310.11215 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-04245179 | |
| hal.version | 1 | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-04245179v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=JAMING,%20Philippe&WANG,%20Yunlei&rft.genre=preprint |
Fichier(s) constituant ce document
| Fichiers | Taille | Format | Vue |
|---|---|---|---|
|
Il n'y a pas de fichiers associés à ce document. |
|||