The backscattering problem for time-dependent potentials

TL;DR

This paper investigates the inverse backscattering problem for time-dependent potentials, establishing uniqueness and stability results for recovering small potentials from backscattering data.

Contribution

It provides the first proof of uniqueness and Lipschitz stability for small time-dependent potentials in the inverse backscattering problem.

Findings

Proved uniqueness of potential recovery.

Established Lipschitz stability for small potentials.

Applicable to time-dependent inverse scattering scenarios.

Abstract

We study the inverse backscattering problem for time-dependent potentials. We prove uniqueness and Lipshitz stability for the recovery of small potentials.