Observability from a measurable set for functions in a Gevrey class
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866916475629993984 |
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| author | Kukavica, Igor Li, Linfeng |
| author_facet | Kukavica, Igor Li, Linfeng |
| contents | We provide an observability inequality in terms of a measurable set for general Gevrey regular functions. As an application, we establish an observability estimate from a measurable set for sums of Laplace eigenfunctions in a compact and connected boundaryless Riemannian manifold that belongs to the Gevrey class. The estimate has an explicit dependence on the maximal eigenvalue. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_00342 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Observability from a measurable set for functions in a Gevrey class Kukavica, Igor Li, Linfeng Analysis of PDEs Differential Geometry We provide an observability inequality in terms of a measurable set for general Gevrey regular functions. As an application, we establish an observability estimate from a measurable set for sums of Laplace eigenfunctions in a compact and connected boundaryless Riemannian manifold that belongs to the Gevrey class. The estimate has an explicit dependence on the maximal eigenvalue. |
| title | Observability from a measurable set for functions in a Gevrey class |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2411.00342 |