STABILITY ESTIMATE IN THE INVERSE SCATTERING FOR A SINGLE QUANTUM PARTICLE IN AN EXTERNAL SHORT-RANGE POTENTIAL - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2018

STABILITY ESTIMATE IN THE INVERSE SCATTERING FOR A SINGLE QUANTUM PARTICLE IN AN EXTERNAL SHORT-RANGE POTENTIAL

Abstract

In this paper we consider the inverse scattering problem for the Schrödinger operator with short-range electric potential. We prove in dimension n ě 2 that the knowledge of the scattering operator determines the electric potential and we establish Hölder-type stability in determining the short range electric potential.
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hal-01867691 , version 1 (05-09-2018)

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Luc Robbiano, Mourad Bellassoued. STABILITY ESTIMATE IN THE INVERSE SCATTERING FOR A SINGLE QUANTUM PARTICLE IN AN EXTERNAL SHORT-RANGE POTENTIAL. 2018. ⟨hal-01867691⟩

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