Inverse problems on Riemannian manifolds
Mr. Sombuddha Bhattacharyya
TIFR-CAM, Bangalore
| Speaker |
Mr. Sombuddha Bhattacharyya
TIFR-CAM, Bangalore
|
|---|---|
| When |
Sep 18, 2017
from 03:30 PM to 04:30 PM |
| Where | LH006 |
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Abstract: In this talk we consider Calderón-type inverse problems for biharmonic operators and magnetic Schrödinger operators on certain classes of Riemannian manifolds.
In the first part of the talk we will consider a biharmonic operator with lower order perturbations and show the unique recovery of the lower order coefficients from the Dirichlet to Neumann data defined on the entire boundary.
In the second part we will consider the magnetic Schrödinger operator and show the unique recovery of the vector field (to the extent possible) and the potential from partial boundary Dirichlet to Neumann data.