Determining The Magnetic Potential In The Fractional Magnetic Calderón Problem

Abstract

We determine both the magnetic potential and the electric potential from the exterior partial measurements of the Dirichlet-to-Neumann map in the fractional linear magnetic Calderón problem by using an integral identity. We also determine both the magnetic potential and the nonlinearity in the fractional semilinear magnetic Calderón problem by using a first order linearization.

10 pages

References in corpus (1)

• The Calderón Problem For The Fractional Magnetic Operator

Cited by in corpus (4)

• The higher order fractional Calderón problem for linear local operators: uniqueness
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• Calderón problem for fractional Schrödinger operators on closed Riemannian manifolds