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 :

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.
Fichier principal
Vignette du fichier
Scattering1.pdf (173.92 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01867691 , version 1 (05-09-2018)

Identifiers

Cite

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

Altmetric

Share

Gmail Facebook Twitter LinkedIn More