Resolvent bounds for repulsive potentials
Abstract
We prove limiting absorption resolvent bounds for the semiclassical Schrödinger operator with a repulsive potential in dimensions n ≥ 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.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Publication details
- Journal / source
- Pacific Journal of Mathematics
- Volume
- 343
- Issue
- 2
- Pages
- 395–426
- Publication date
- 22 May 2026
- Language
- EN