An inverse stability result for non-compactly supported potentials by one arbitrary lateral Neumann observationReport as inadecuate




An inverse stability result for non-compactly supported potentials by one arbitrary lateral Neumann observation - Download this document for free, or read online. Document in PDF available to download.

1 FRDP - Fédération de recherche Denis Poisson 2 University of Carthage, Faculty of Sciences of Bizerte 3 CPT - Centre de Physique Théorique - UMR 7332

Abstract : In this paper we investigate the inverse problem of determining the time independent scalar potential of the dynamic Schrödinger equation in an infinite cylindrical domain, from partial measurement of the solution on the boundary. Namely, if the potential is known in a neighborhood of the boundary of the spatial domain, we prove that it can be logarithmic stably determined in the whole waveguide from a single observation of the solution on any arbitrary strip-shaped subset of the boundary.

Keywords : Infinite cylindrical waveguide Schrödinger equation Inverse Problems Carleman estimate Stability estimate.





Author: M Bellassoued - Y Kian - Eric Soccorsi -

Source: https://hal.archives-ouvertes.fr/



DOWNLOAD PDF




Related documents