Observability from a measurable set for functions in a Gevrey class

Igor Kukavica; Linfeng Li

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arXiv · 2411.00342

Observability from a measurable set for functions in a Gevrey class

Igor Kukavica·Linfeng Li

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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.

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Igor Kukavica, Linfeng Li. 2024-11-01. Observability from a measurable set for functions in a Gevrey class. https://arxiv.org/abs/2411.00342

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