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,…
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…
Inverse boundary value problem for the Convection-Diffusion equation with local data
Pranav Kumar, Anamika Purohit
We study a local data inverse problem for the time-dependent Convection-Diffusion Equation (CDE) in a bounded domain where a part of the boundary is treated to be inaccessible. Up…
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…