| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4609521 | Journal of Differential Equations | 2016 | 28 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
M. Bellassoued, Y. Kian, E. Soccorsi,