2 citations · 3 across the 7 of their papers we have counts for
7 papers
Resolvent estimates for the Schrödinger operator with electric and magnetic potentials and applications to the local energy decay
Andrés Larraín-Hubach, Jacob Shapiro, Georgi Vodev
We establish resolvent estimates that extend earlier results to a larger class of electric potentials , , and magnetic potentials $b…
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…
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…
Semiclassical estimates for the magnetic Schrödinger operator on the line
Andrés Larraín-Hubach, Jacob Shapiro
We prove a weighted Carleman estimate for a class of one-dimensional, self-adjoint Schrödinger operators with low regularity electric and magnetic potentials, where …
Instantons on multi-Taub-NUT Spaces III: Down Transform, Completeness, and Isometry
Sergey A. Cherkis, Andrés Larraín-Hubach, Mark Stern
The index bundle of a family of Dirac operators associated to an instanton on a multi-Taub-NUT space forms a bow representation. We prove that the gauge equivalence classes of solu…
Semiclassical estimates for measure potentials on the real line
Andrés Larraín-Hubach, Jacob Shapiro
We prove an explicit weighted estimate for the semiclassical Schrödinger operator on , with a finite signed measure, and…