3 papers
math.AP2026
Fractal Turán-Nazarov Inequality and Observability for Schrödinger Equations
Jiaqi Yu, Shanlin Huang
This paper establishes limitations on observability inequality and unique continuation for Schrödinger equations on fractal sets. We prove that, in contrast to the heat equation,…
math.DS2026
Saturation for product systems of polynomials
Qinqi Wu, Jiaqi Yu
Recently, Qiu, Xu, Ye and Yu proved that for product system of finitely many minimal systems, the maximal -step pro-nilfactor of the system is the topological characteristi…
math.AP2026
On the observability of the Schrödinger equation in the torus from open sets
Kévin Le Balc'h, Jiaqi Yu
We study the observability of the Schrödinger equation on the -dimensional torus , , from an open subset . Our first main result e…