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arXiv · 2502.05614

Resolvent bounds for repulsive potentials

Andrés Larraín-Hubach·Yulong Li·Jacob Shapiro·Joseph Tiller
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Abstract

We prove limiting absorption resolvent bounds for the semiclassical Schr\"odinger operator with a repulsive potential in dimension $n\ge 3$, which may have a singularity at the origin. As an application, we obtain time decay for the weighted energy of the solution to the associated wave equation with a short range repulsive potential and compactly supported initial data.

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Andrés Larraín-Hubach, Yulong Li, Jacob Shapiro, Joseph Tiller. 2025-02-08. Resolvent bounds for repulsive potentials. https://doi.org/10.2140/pjm.2026.343.395

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