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.
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