4 papers
Direct and inverse problem for bi-wave equation with time-dependent coefficients from partial data
Sombuddha Bhattacharyya, Pranav Kumar
In this article, we study a direct and an inverse problem for the bi-wave operator along with second and lower order time-dependent perturbations. In the direct problem,…
The Momentum Light Ray Transform
Sombuddha Bhattacharyya, Tuhin Mondal, Suman Kumar Sahoo
In this article, we study Momentum Light Ray Transform (MLRT) on symmetric tensor fields. MLRT is an integral transform in time-space domain (), which in…
Density results of biharmonic functions on symmetric tensor fields and their applications to inverse problems
Divyansh Agrawal, Sombuddha Bhattacharyya, Pranav Kumar
In this article we discuss density of products of biharmonic functions vanishing on an arbitrarily small part of the boundary. We prove that one can use three or more such biharmon…
Recovery of piecewise smooth parameters in an acoustic-gravitational system of equations from exterior Cauchy data
Sombuddha Bhattacharyya, Maarten de Hoop, Vitaly Katsnelson
In this paper, we study an inverse problem for an acoustic-gravitational system whose principal symbol is identical to that of an acoustic wave operator. The displacement vector of…