# American Institute of Mathematical Sciences

June  2018, 12(3): 801-830. doi: 10.3934/ipi.2018034

## An inverse problem for the magnetic Schrödinger operator on Riemannian manifolds from partial boundary data

 Tata Institute of Fundamental Research, Centre for Applicable Mathematics, Bangalore, India

Received  September 2016 Revised  January 2018 Published  March 2018

We consider the inverse problem of recovering the magnetic and potential term of a magnetic Schrödinger operator on certain compact Riemannian manifolds with boundary from partial Dirichlet and Neumann data on suitable subsets of the boundary. The uniqueness proof relies on proving a suitable Carleman estimate for functions which vanish only on a part of boundary and constructing complex geometric optics solutions which vanish on a part of the boundary.

Citation: Sombuddha Bhattacharyya. An inverse problem for the magnetic Schrödinger operator on Riemannian manifolds from partial boundary data. Inverse Problems & Imaging, 2018, 12 (3) : 801-830. doi: 10.3934/ipi.2018034
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