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20172025
most citedRecovery of piecewise smooth density and Lamé parameters from high-frequency exterior Cauchy data

1 citations · 2 across the 6 of their papers we have counts for

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math.AP2025

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…

math.AP2025

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…

math.AP20221 cited

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…

math.AP20221 cited

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…

math.AP2021

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…

math.AP2020

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…