Sponsored by
 
Events
News
 
[ Events ]
 
 

Activity Search
Sort out
Field
 
Year
Seminars  
 
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 (HKUST Jockey Club Institute for Advanced Study)

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 , .
 


 

back to list  
 (C) 2018 National Center for Theoretical Sciences