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NCTS Seminar on PDE and Analysis
14:20 - 15:20, March 2, 2017 (Thursday)
Room 201, Astronomy-Mathematics Building, NTU
(台灣大學天文數學館 201室)
Inverse Problems for Biharmonic Operators on Riemannian Manifolds
Sombuddha Bhattacharyya (Tata Institute of Fundamental Research)

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 , .


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 (C) 2017 National Center for Theoretical Sciences