English

Observability from a measurable set for functions in a Gevrey class

Analysis of PDEs 2024-11-12 v2 Differential Geometry

Abstract

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.

Keywords

Cite

@article{arxiv.2411.00342,
  title  = {Observability from a measurable set for functions in a Gevrey class},
  author = {Igor Kukavica and Linfeng Li},
  journal= {arXiv preprint arXiv:2411.00342},
  year   = {2024}
}

Comments

10 pages

R2 v1 2026-06-28T19:43:52.478Z