Stability of the inverse problem in potential scattering at fixed energy
type: Item
instance of: scholarly article
title: Stability of the inverse problem in potential scattering at fixed energy
zbMATH Open document ID: 0715.35082
publication date: 1992-06-25T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/74903
review text: We prove an estimate of the kind \(\| q_ 1-q_ 2\|_{L^{\infty}}\leq C\phi (\| A_{q_ 1}-A_{q_ 2}\|_{R,3/2,-1/2})\), where \(A_{q_ i}(\omega,\theta)\), \(i=1,2\) is the scattering amplitude related to the compactly supported potential \(q_ i(x)\) at a fixed energy level \(k=const.\), \(\phi (t)=(-\ln t)^{- \delta}\), \(0<\delta <1\) and \(\| \cdot \|_{R,3/2,-1/2}\) is a suitably defined norm.
Mathematics Subject Classification ID: 35R30
Mathematics Subject Classification ID: 35P25
Mathematics Subject Classification ID: 35J10
zbMATH DE Number: 1021
zbMATH Keywords: stability estimate
zbMATH Keywords: unknown potential
author: Plamen Stefanov
reviewed by: Plamen Stefanov
MaRDI profile type: Publication
OpenAlex ID: W2333425423
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DOI: 10.5802/AIF.1239
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 1021