Yunlei Wang

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20222026

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math.AP2026

Curved Ingham Inequalities for Dispersive Trigonometric Sums

Bernhard H Haak, Philippe Jaming, Ming Wang +1

We study $L^{2}$ restrictions of dispersive trigonometric sums $F (t, x) = n \in Z \sum c_{n} e^{2 π i (∣ n ∣^{s} t + n x)}$ to curves in the $(t, x)$ -plane. Our main result is a curved analogue…

math.AP2026

Approximate null-controllability of discrete heat equations with potentials on lattices

Yann Bourroux, Philippe Jaming, Yunlei Wang

We investigate approximate null-controllability for semi-discrete heat equations on the lattice $h Z^{d}$ with a potential. By establishing spectral inequalities for the disc…

math.AP2026

Observability and Semiclassical Control for Schrödinger Equations on Non-compact Hyperbolic Surfaces

Xin Fu, Yulin Gong, Yunlei Wang

We study the observability of the Schrödinger equation on $X$ , a non-compact covering space of a compact hyperbolic surface $M$ . Using a generalized Bloch theory, functions on $X$ …

math.AP2024

Quantitative 2D propagation of smallness and control for 1D heat equations with power growth potentials

Yunlei Wang

We study the relation between propagation of smallness in the plane and control for heat equations. The former has been proved by Zhu who showed how the value of solutions in some…

math.AP2022

Observability of dispersive equations from line segments on the torus

Yunlei Wang, Ming Wang

We investigate the observability of a general class of linear dispersive equations on the torus $T$ . We take one line segment or two line segments in space-time region as…