| Abstract: |
| I will present recent work regarding Holder stability estimates for two inverse problems arising from the wave equation associated to a Magnetic Schrodinger operator on a simple Riemannian manifold. The first such inverse problem is the question of stably recovering a non-negative electric potential, and the solenoidal part of a magnetic potential from measured Neumann boundary observations; the second problem similarly studies the question of stably recovering such potentials from the boundary spectral data of the associated Magnetic Schrodinger operator. I will discuss the connection between these two problems, and the technical issues introduced by the magnetic potential. |
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