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Inverse problems on Riemannian manifolds

Mr. Sombuddha Bhattacharyya, TIFR-CAM
Mr. Sombuddha Bhattacharyya, TIFR-CAM
When May 03, 2017
from 03:30 PM to 04:30 PM
Where LH 006
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Abstract: We consider Calderón-type inverse problems for biharmonic operators and magnetic Schrödinger operators on certain Riemannian manifolds \((M,g)\).

In the first part of the talk, we consider a perturbed biharmonic operator and discuss the recovery of the perturbations in the domain \(M\) from the Dirichlet to Neumann data defined on boundary \(\partial M\).

In the second part, we consider the magnetic Schrödinger operator on a Riemannian manifold \((M,g)\) and consider the unique recovery of the coefficients, to the possible extent, from partial boundary data.

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