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arXiv · 1810.03797

An inverse problem for the magnetic Schr\"{o}dinger operator on Riemannian manifolds from partial boundary data

Sombuddha Bhattacharyya
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Abstract

We consider the inverse problem of recovering the magnetic and potential term of a magnetic Schr\"{o}dinger 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.

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Sombuddha Bhattacharyya. 2018-10-09. An inverse problem for the magnetic Schr\"{o}dinger operator on Riemannian manifolds from partial boundary data. https://arxiv.org/abs/1810.03797

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