|
|||||
|
|
|
|
|
|
|
|
|
|
|
|
|
Resolvent bounds for
repulsive potentials
Andrés Larraín-Hubach, Yulong Li, Jacob Shapiro and Joseph Tiller |
|
Vol. 343 (2026), No. 2, 395–426
|
 |
Abstract |
|
We prove limiting absorption resolvent bounds for the semiclassical Schrödinger operator with a repulsive potential in dimensions , 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. |
Keywords
resolvent estimate, Schrödinger operator, repulsive
potential, local energy decay
|
Mathematical Subject Classification
Primary: 35P25
|
Milestones
Revised: 5 March 2026
Accepted: 1 May 2026
Published: 22 May 2026
|
Authors |
| Andrés Larraín-Hubach | |
| Department of Mathematics University of Dayton Dayton, OH United States |
|
| Yulong Li | |
| Department of Mathematics University of Dayton Dayton, OH United States |
|
| Jacob Shapiro | |
| Department of Mathematics University of Dayton Dayton, OH9-2316 United States |
|
| Joseph Tiller | |
| Peerless Technologies Beavercreek, OH United States |
|
| © 2026 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
Open Access made possible by participating institutions via Subscribe to Open.
