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Article Dans Une Revue Journal of Mathematical Analysis and Applications Année : 2013

Stability estimates for an inverse scattering problem at high frequencies

Résumé

We consider an inverse scattering problem and its near-field approximation at high frequencies. We first prove, for both problems, Lipschitz stability results for determining the low-frequency component of the potential. Then we show that, in the case of a radial potential supported sufficiently near the boundary, infinite resolution can be achieved from measurements of the near-field operator in the monotone case.
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hal-00795979 , version 1 (01-03-2013)

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  • HAL Id : hal-00795979 , version 1

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Habib Ammari, Hajer Bahouri, David dos Santos Ferreira, Isabelle Gallagher. Stability estimates for an inverse scattering problem at high frequencies. Journal of Mathematical Analysis and Applications, 2013, 400, pp.525-540. ⟨hal-00795979⟩
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