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math.AP2025
Exponential local energy decay of solutions to the wave equation with 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 , , with 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 , which may have a singularity at the origi…