Increasing stability in the n-dimensional inverse source problem with multi-frequencies
Analysis of PDEs
2024-02-27 v1
Abstract
In this paper, we show for the first time the increasing stability of the inverse source problem for the n-dimensional Helmholtz equation at multiple wave numbers, which is different from the two-or three-dimensional Helmholtz equation. In addition, we develop a new, unified approach to study increasing stability in any dimension. The method is based on the Fourier transform and explicit bounds for analytic continuation.
Cite
@article{arxiv.2402.15976,
title = {Increasing stability in the n-dimensional inverse source problem with multi-frequencies},
author = {Suliang Si},
journal= {arXiv preprint arXiv:2402.15976},
year = {2024}
}
Comments
9 pages