Increasing stability in the n-dimensional inverse source problem with multi-frequencies

Suliang Si

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arXiv · 2402.15976

Increasing stability in the n-dimensional inverse source problem with multi-frequencies

Suliang Si

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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.

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Suliang Si. 2024-02-25. Increasing stability in the n-dimensional inverse source problem with multi-frequencies. https://arxiv.org/abs/2402.15976

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