On Runge approximation and Lipschitz stability for a finite-dimensional Schr\"odinger inverse problem
Analysis of PDEs
2020-02-24 v1
Abstract
In this note we reprove the Lipschitz stability for the inverse problem for the Schr\"odinger operator with finite-dimensional potentials by using quantitative Runge approximation results. This provides a quantification of the Schr\"odinger version of the argument from Kohn and Vogelius in Comm. Pure Appl. Math. (1985) and presents a slight variant of the strategy considered by Alessandrini, de Hoop, Gaburro and Sincich in Asymptotic Analysis (2018) which may prove useful also in the context of more general operators.
Cite
@article{arxiv.2002.09319,
title = {On Runge approximation and Lipschitz stability for a finite-dimensional Schr\"odinger inverse problem},
author = {Angkana Rüland and Eva Sincich},
journal= {arXiv preprint arXiv:2002.09319},
year = {2020}
}