Jacob Shapiro

collaborators

4 papers

math.AP2026

Exponential local energy decay of solutions to the wave equation with $L^{\infty}$ electric and magnetic potentials

AndrÃ©s LarraÃn-Hubach, Andrés Larraín-Hubach, Jacob Shapiro +1

In this paper we prove sharp resolvent estimates for the magnetic Schrödinger operator in $R^{d}$ , $d \geq 3$ , with $L^{\infty}$ short-range electric and magnetic potentials. We…

math.AP2026

Resolvent bounds for repulsive potentials

AndrÃ©s LarraÃn-Hubach, Yulong Li, Jacob Shapiro +1

We prove limiting absorption resolvent bounds for the semiclassical SchrÃ¶dinger operator with a repulsive potential in dimension $n \geq 3$ , which may have a singularity at the orig…

math.AP2026

Resolvent estimates for the SchrÃ¶dinger operator with $L^{\infty}$ electric and magnetic potentials and applications to the local energy decay

We establish resolvent estimates that extend earlier results to a larger class of electric potentials $V \in L^{\infty} (R^{d}; R)$ , $d \geq 3$ , and magnetic potentials $b…

math.AP2025

Semiclassical estimates for the magnetic SchrÃ¶dinger operator on the line

We prove a weighted Carleman estimate for a class of one-dimensional, self-adjoint SchrÃ¶dinger operators $P (h)$ with low regularity electric and magnetic potentials, where $h > 0$ …

Exponential local energy decay of solutions to the wave equation with L∞ electric and magnetic potentials

Resolvent bounds for repulsive potentials

Resolvent estimates for the SchrÃ¶dinger operator with L∞ electric and magnetic potentials and applications to the local energy decay

Semiclassical estimates for the magnetic SchrÃ¶dinger operator on the line

Exponential local energy decay of solutions to the wave equation with $L^{\infty}$ electric and magnetic potentials

Resolvent estimates for the SchrÃ¶dinger operator with $L^{\infty}$ electric and magnetic potentials and applications to the local energy decay