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Stability on the Inverse Random Source Scattering Problem for the One-Dimensional Helmholtz Equation

Consider the one-dimensional stochastic Helmholtz equation where the source is assumed to be driven by the white noise. This paper concerns the stability analysis of the inverse random source problem which is to reconstruct the statistical properties of the source such as the mean and variance. Our results show that increasing stability can be obtained for the inverse problem by using suitable boundary data with multi-frequencies.

preprint2016arXivOpen access
Peijun LiGanghua Yuan
math.AP
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Peijun LiGanghua Yuan

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