Jiaqi Yu

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math.AP2026

Fractal TurÃ¡n-Nazarov Inequality and Observability for SchrÃ¶dinger Equations

Jiaqi Yu, Shanlin Huang

This paper establishes limitations on observability inequality and unique continuation for SchrÃ¶dinger equations on fractal sets. We prove that, in contrast to the heat equation,…

math.AP2026

On the observability of the SchrÃ¶dinger equation in the torus from open sets

We study the observability of the SchrÃ¶dinger equation on the $d$ -dimensional torus $T^{d}$ , $d \geq 1$ , from an open subset $I ¨ \subset T^{d}$ . Our first main result e…