Increasing Stability in the Inverse Source Problem with an Interval ( K 1, K 2 ) of Frequencies

Suliang Si ()
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Suliang Si: School of Mathematics and Statistics, Shandong University of Technology, Zibo 255000, China

Mathematics, 2025, vol. 13, issue 5, 1-10

Abstract: In this paper, we study the increasing stability in the inverse source problem with an interval ( K 1 , K 2 ) 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 K 2 increases or K 1 decreases. The method is based on the Fourier transform and explicit bounds for analytic continuation.

Keywords: uniqueness; inverse scattering problem; far-field pattern; penetrable obstacle; transmission problem; interior transmission problem; embedded obstacles (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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