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Approximate Lipschitz stability for phaseless inverse scattering with background information

Journal of Inverse and Ill-posed problems. 2023. Vol. 31. No. 3. P. 441–454.
Vladimir N. Sivkin

We prove approximate Lipschitz stability for monochromatic phaseless inverse scattering with background information in dimension d = 2. Moreover, these stability estimates are given in terms of non-overdetermined and incomplete data. Related results for reconstruction from phaseless Fourier transforms are also given. Prototypes of these estimates for the phased case were given in [R. G. Novikov, Approximate Lipschitz stability for non-overdetermined inverse scattering at fixed energy, J. Inverse Ill-Posed Probl. 21(2013), no. 6, 813-823].

Research target: Mathematics
Language: English
Full text
DOI
Keywords: Schrodinger equationphaseless inverse scatteringapproximate Lipschitz stabilitymonochromatic and non-overdetermined data
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