12 citations · 16 across the 13 of their papers we have counts for
16 papers
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…
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,…
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…
Inverse Problems For Third-Order Nonlinear Perturbations Of Biharmonic Operators
Sombuddha Bhattacharyya, Katya Krupchyk, Suman Kumar Sahoo +1
We study inverse boundary problems for third-order nonlinear tensorial perturbations of biharmonic operators on a bounded domain in , where . By imposing app…
Local data inverse problem for the polyharmonic operator with anisotropic perturbations
Sombuddha Bhattacharyya, Pranav Kumar
In this article, we study an inverse problem with local data for a linear polyharmonic operator with several lower order tensorial perturbations. We consider our domain to have an…
Recovery of piecewise smooth density and Lamé parameters from high-frequency exterior Cauchy data
Sombuddha Bhattacharyya, Maarten V. de Hoop, Vitaly Katsnelson +1
We consider an isotropic elastic medium occupying a bounded domain D whose density and Lamé parameters are piecewise smooth. In the elastic wave initial value inverse problem, we a…
Recovery of wave speeds and density of mass across a heterogeneous smooth interface from acoustic and elastic wave reflection operators
Sombuddha Bhattacharyya, Maarten V. de Hoop, Vitaly Katsnelson +1
We revisit the problem of recovering wave speeds and density across a curved interface from reflected wave amplitudes. Such amplitudes have been exploited for decades in (explorati…
Unique determination of anisotropic perturbations of a polyharmonic operator from partial boundary data
Sombuddha Bhattacharyya, Venkateswaran P. Krishnan, Suman Kumar Sahoo
We study an inverse problem involving the unique recovery of several lower order anisotropic tensor perturbations of a polyharmonic operator in a bounded domain from the knowledge…
Inverse Problem for Kirchhoff-Love Plate Equation
Sombuddha Bhattacharyya, Tuhin Ghosh
We consider the two-dimensional Kirchhoff-Love plate equation in the context of elasticity modeling the stresses and deformations in thin plates subjected to forces and moments. We…
An Inverse Problem on Determining Second Order Symmetric Tensor for Perturbed Biharmonic Operator
Sombuddha Bhattacharyya, Tuhin Ghosh
This article offers a study of the Calderón type inverse problem of determining up to second order coefficients of the higher order elliptic operator. Here we show that it is possi…
An inverse problem for the magnetic Schrödinger operator on Riemannian manifolds from partial boundary data
Sombuddha Bhattacharyya
We consider the inverse problem of recovering the magnetic and potential term of a magnetic Schrödinger operator on certain compact Riemannian manifolds with boundary from partial…
Local Uniqueness of The Density From Partial Boundary Data for Isotropic Elastodynamics
Sombuddha Bhattacharyya
We consider an inverse problem in elastodynamics arising in seismic imaging. We prove locally uniqueness of the density of a non-homogeneous, isotropic elastic body from measuremen…
Inverse Problem for Fractional-Laplacian with Lower Order Non-local Perturbations
Sombuddha Bhattacharyya, Tuhin Ghosh, Gunther Uhlmann
In this article, we study a model problem featuring a Lévy process in a domain with semi-transparent boundary by considering the following perturbed fractional Laplacian operator \…
Optimal stability estimate in the inverse boundary value problem for periodic potentials with partial data
Sombuddha Bhattacharyya, Cătălin I. Cârstea
We consider the inverse boundary value problem for operators of the form in an infinite domain , , with a periodi…
Inverse boundary value problem of determining up to second order tensors appear in the lower order perturbations of the polyharmonic operator
Tuhin Ghosh, Sombuddha Bhattacharyya
We consider the following perturbed polyharmonic operator $\Lc(x,D)$ of order defined in a bounded domain with smooth boundary, as \begin{equa…