Increasing Stability for the Inverse Source Problem of the Schrödinger Operator
Abstract
ABSTRACT In this paper, we consider the stability of the inverse source problem for the Schrödinger operator with a compactly supported potential in . Using the Fourier transform in time, we reduce our inverse source problem to finding the initial data in the hyperbolic value problem by the lateral Cauchy data. The stability estimate consists of the Lipschitz type data discrepancy and the logarithmic high frequency tail of the potential function. The method is based on the Fourier transform and explicit bounds for analytic continuation.
Fields of Study & Subjects
Numerical methods in inverse problems
Spectral Theory in Mathematical Physics
Differential Equations and Boundary Problems
Publication details
- Journal / source
- Mathematical Methods in the Applied Sciences
- Volume
- 49
- Issue
- 8
- Pages
- 8489–8496
- Publication date
- 14 January 2026
- Language
- EN