Recovery of non compactly supported coefficients of an elliptic equation on an infinite waveguide

Abstract : We consider the unique recovery of a non compactly supported and non periodic perturbation of a Schrödinger operator in an unbounded cylindrical domain, also called waveguide, from boundary measurements. More precisely, we prove recovery of general class of electric potentials from the partial Dirichlet-to-Neumann map, where the Dirichlet data is supported on slightly more than half of the boundary and the Neumann data is taken on the other half of the boundary. We apply this result in different context including recovery of some general class of coefficients from measurements on a bounded subset and recovery of an electric potential, supported on an unbounded cylinder, of a Schrödinger operator in a slab.
Document type :
Journal articles
Liste complète des métadonnées

Cited literature [44 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01583151
Contributor : Yavar Kian <>
Submitted on : Wednesday, September 6, 2017 - 6:25:43 PM
Last modification on : Thursday, November 1, 2018 - 5:13:58 PM

File

ellliptic-un2.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01583151, version 1

Collections

Citation

Yavar Kian. Recovery of non compactly supported coefficients of an elliptic equation on an infinite waveguide. Journal of the Institute of Mathematics of Jussieu, Cambridge University Press (CUP), In press. ⟨hal-01583151⟩

Share

Metrics

Record views

544

Files downloads

19