3 papers
math.AP2025
Resolvent bounds imply observability from measurable time sets for Schrödinger equations
Nicolas Burq, Hui Zhu
We prove that on a compact Riemannian manifold, resolvent bounds for the Laplace--Beltrami operator imply observability, and thus controllability, for the Schrödinger propagator f…
math.AP2025
Observability of Schrödinger propagators on tori in rough settings
Nicolas Burq, Hui Zhu
On tori of arbitrary dimensions, Schrödinger propagators with bounded potentials are conjectured to be observable from space-time domains of positive Lebesgue measure. We reduce t…
math.AP2025
Trace and Observability Inequalities for Laplace Eigenfunctions on the Torus
Nicolas Burq, Pierre Germain, Massimo Sorella +1
We investigate trace and observability inequalities for Laplace eigenfunctions on the d-dimensional torus, with respect to arbitrary Borel measures . Specifically, we character…