Work

Increasing Stability in the Inverse Source Problem with an Interval (K1, K2) of Frequencies

Year: 2025

Type: article

Abstract: In this paper, we study the increasing stability in the inverse source problem with an interval (K1,K2) of frequencies. Our results show that increasing stability can be obtained with larger wavenumber intervals. The stability estimate consists of the Lipschitz type data discrepancy and the frequency tail of the source function, where the latter decreases as the frequency K2 increases or K1 decreases. The method is based on the Fourier transform and explicit bounds for analytic continuation.

Source: Mathematics

DOI: 10.3390/math13050693

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: gold

Estimated APC paid: $3,137

Funder: Natural Science Foundation of Shandong Province