Work

Increasing Stability for the Inverse Source Problem of the Schrödinger Operator

Year: 2026

Type: article

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.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.70482

Author: Suliang Si

Institution: Shandong University of Technology

Language: English

Topic: Numerical methods in inverse problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funder: Natural Science Foundation of Shandong Province

Award: G5302404272