7 papers
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…
Nonlocal inverse problem with boundary response
Tuhin Ghosh
The problem of interest in this article is to study the (nonlocal) inverse problem of recovering a potential based on the boundary measurement associated with the fractional Schröd…
Unique continuation for a non bi-Laplacian fourth order elliptic operator
Amrita Ghosh, Tuhin Ghosh
This paper discusses the unique continuation principal of the solutions of the following perturbed fourth order elliptic differential operator , where \[ \mat…
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 \…
Homogenization for non-local elliptic operators in both perforated and non-perforated domains
Loredana Balilescu, Amrita Ghosh, Tuhin Ghosh
In this paper, we focus on the homogenization process of the non-local elliptic boundary value problem $$\mathcal{L}_\varepsilon^s u_\varepsilon =(-\nabla\cdot (A_\varepsilon(x)\na…
Uniform estimate for elliptic operator with Robin boundary condition in domain
Cherif Amrouche, Carlos Conca, Amrita Ghosh +1
We consider the Robin boundary value problem in , domain, with $(A \nabla u - \mathbf{f})\cdot \mathbf{n}…