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# Inverse problems on Riemannian manifolds

Mr. Sombuddha Bhattacharyya, TIFR-CAM
 Speaker Mr. Sombuddha Bhattacharyya, TIFR-CAM May 03, 2017 from 03:30 PM to 04:30 PM LH 006 vCal iCal

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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