5 papers
Exponential local energy decay of solutions to the wave equation with electric and magnetic potentials
Andrés LarraÃn-Hubach, Andrés Larraín-Hubach, Jacob Shapiro +1
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 LarraÃn-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 orig…
Resolvent estimates for the Schrödinger operator with electric and magnetic potentials and applications to the local energy decay
Andrés LarraÃn-Hubach, Jacob Shapiro, Georgi Vodev
We establish resolvent estimates that extend earlier results to a larger class of electric potentials , , and magnetic potentials $b…
Semiclassical estimates for the magnetic Schrödinger operator on the line
Andrés LarraÃn-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 LarraÃn-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…