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Partial data inverse problems for magnetic Schrödinger operators on conformally transversally anisotropic manifolds.

Authors :
Selim, Salem
Yan, Lili
Source :
Asymptotic Analysis. 2024, Vol. 140 Issue 1/2, p25-36. 12p.
Publication Year :
2024

Abstract

We study inverse boundary problems for the magnetic Schrödinger operator with Hölder continuous magnetic potentials and continuous electric potentials on a conformally transversally anisotropic Riemannian manifold of dimension n ⩾ 3 with connected boundary. A global uniqueness result is established for magnetic fields and electric potentials from the partial Cauchy data on the boundary of the manifold provided that the geodesic X-ray transform on the transversal manifold is injective. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09217134
Volume :
140
Issue :
1/2
Database :
Academic Search Index
Journal :
Asymptotic Analysis
Publication Type :
Academic Journal
Accession number :
180135124
Full Text :
https://doi.org/10.3233/ASY-241909