Abstract

 

In this talk we consider type inverse problems for biharmonic operators on a class of Riemannian manifolds. We consider the operator , on a Riemannian manifold , which is defined as:

where are smooth functions and is a smooth 1-form in .

 

We work on a class of Riemannian manifolds, which are known as ``admissible" manifolds.

On an admissible manifold, we suitably define and (front face and back face)

subsets of boundary and we consider the following Cauchy data on boundary as

,

where is the outward normal vector field on and denotes the action of the 1-form on . 

 

Our goal is to show that for two sets of coefficients and ,

if   ,then, and , .