Inverse problems for the fourth order Schr\"odinger equation on a finite domain
Analysis of PDEs
2013-12-18 v1
Abstract
In this paper we establish a global Carleman estimate for the fourth order Schr\"odinger equation posed on a finite domain. The Carleman estimate is used to prove the Lipschitz stability for an inverse problem consisting in retrieving a stationary potential in the Schr\"odinger equation from boundary measurements.
Keywords
Cite
@article{arxiv.1312.4901,
title = {Inverse problems for the fourth order Schr\"odinger equation on a finite domain},
author = {Chuang Zheng},
journal= {arXiv preprint arXiv:1312.4901},
year = {2013}
}
Comments
16 pp