Jacob Shapiro

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20242026

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math.AP2025

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

Andrés Larraín-Hubach, Jacob Shapiro, Georgi Vodev

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.AP2025

Resolvent bounds for repulsive potentials

Andrés Larraín-Hubach, Yulong Li, Jacob Shapiro +1

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

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

Resolvent bounds for repulsive potentials

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