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20172022
most citedRecovery of piecewise smooth density and Lamé parameters from high-frequency exterior Cauchy data

1 citations · 2 across the 4 of their papers we have counts for

collaborators

8 papers

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…

math.AP2018

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…

math.AP2018

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…