114 citations · 276 across the 23 of their papers we have counts for
26 papers
A Reduction of the Fractional Calderón Problem to the Local Calderón Problem by Means of the Caffarelli-Silvestre Extension
Giovanni Covi, Tuhin Ghosh, Angkana Rüland +1
We relate the (anisotropic) variable coefficient local and nonlocal Calderón problems by means of the Caffarelli-Silvestre extension. In particular, we prove that (partial) Dirichl…
Is Cosmic Birefringence model-dependent?
Lu Yin, Joby Kochappan, Tuhin Ghosh +1
Exciting clues to isotropic cosmic birefringence have recently been detected in the cross-power spectra of the polarization data of the cosmic microwave background (CMB). Earl…
Effects of Planetesimal Scattering: Explaining the Observed Offsets from Period Ratios 3:2 and 2:1
Tuhin Ghosh, Sourav Chatterjee
The observed deficit and excess of adjacent planet pairs with period ratios narrow and wide of 3:2 and 2:1, the nominal values for the corresponding mean motion resonances (MMRs),…
Fractional anisotropic Calderón problem on closed Riemannian manifolds
Ali Feizmohammadi, Tuhin Ghosh, Katya Krupchyk +1
In this paper we solve the fractional anisotropic Calderón problem on closed Riemannian manifolds of dimensions two and higher. Specifically, we prove that the knowledge of the loc…
The Calderón problem for nonlocal operators
Tuhin Ghosh, Gunther Uhlmann
We study the inverse problem of determining the coefficients of the fractional power of a general second order elliptic operator given in the exterior of an open subset of the Eucl…
An inverse problem for the porous medium equation with partial data and a possibly singular absorption term
Cătălin I. Cârstea, Tuhin Ghosh, Gunther Uhlmann
In this paper we prove uniqueness in the inverse boundary value problem for the three coefficient functions in the porous medium equation with an absorption term $ε\partial_t u-\na…
Application of Contour Minkowski Tensor and Statistic to the Planck -mode data
Joby P. Kochappan, Aparajita Sen, Tuhin Ghosh +2
We test the statistical isotropy (SI) of the -mode polarization of the Cosmic Microwave Background (CMB) radiation observed by the Planck satellite using two statistics, namely,…
An inverse boundary value problem for the inhomogeneous porous medium equation
Cătălin I. Cârstea, Tuhin Ghosh, Gen Nakamura
In this paper we establish uniqueness in the inverse boundary value problem for the two coefficients in the inhomogeneous porous medium equation $ε\partial_tu-\nabla\cdot(γ\nabla u…
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…
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…
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}…
Uniqueness and reconstruction for the fractional Calderón problem with a single measurement
Tuhin Ghosh, Angkana Rüland, Mikko Salo +1
We show global uniqueness in the fractional Calderón problem with a single measurement and with data on arbitrary, possibly disjoint subsets of the exterior. The previous work \cit…
The Calderón problem for variable coefficients nonlocal elliptic operators
Tuhin Ghosh, Yi-Hsuan Lin, Jingni Xiao
In this paper, we introduce an inverse problem of a Schrödinger type variable nonlocal elliptic operator , for . We determine the unknown…
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…
Approximate Isotropic Cloak for the Maxwell equations
Tuhin Ghosh, Ashwin Tarikere
We construct a regular isotropic approximate cloak for the Maxwell system of equations. The method of transformation optics has enabled the design of electromagnetic parameters tha…
Cloaking for a quasi-linear elliptic partial differential equation
Tuhin Ghosh, Karthik Iyer
In this article we consider cloaking for a quasi-linear elliptic partial differential equation of divergence type defined on a bounded domain in for . We show…
The Calderón problem for the fractional Schrödinger equation
Tuhin Ghosh, Mikko Salo, Gunther Uhlmann
We show global uniqueness in an inverse problem for the fractional Schrödinger equation: an unknown potential in a bounded domain is uniquely determined by exterior measurements of…
Bloch Wave Homogenization Relative to a Microstructure
Tuhin Ghosh, Muthusamy Vanninathan
In this work, we study the aspect of Bloch wave homogenization of the new notion of convergence of microstructures represented by matrices related to the classical -conver…
Bloch wave spectral analysis in the class of generalized Hashin-Shtrikman micro-structures
Loredana Bălilescu, Carlos Conca, Tuhin Ghosh +2
In this paper, we use spectral methods by introducing the Bloch waves to study the homogenization process in the non-periodic class of generalized Hashin-Shtrikman micro-structures…
Inverse Diffusivity Problem via Homogenization Theory
Tuhin Ghosh, Venkateswaran P. Krishnan, Muthusamy Vanninathan
Polarization tensor corresponding to near zero volume inhomogeneities was introduced in the pioneering work by Capdeboscq-Vogelius \cite{CV1,CV2}. A beautiful application of the po…