6 citations · 8 across the 9 of their papers we have counts for
12 papers
Rigidity for formally determined point source scattering for an anisotropic acoustic medium
Pradipta Chatterjee, Rakesh, Abhilash Tushir
Consider an acoustic medium, occupying three dimensional space, whose anisotropic sound speed is modeled by a Riemannian metric which is Euclidean outside a compact region . The…
A constructive approach to range characterization of spherical mean transform in odd dimensions
Pradipta Chatterjee, Venkateswaran P. Krishnan, Abhilash Tushir
This work focuses on range characterization of spherical mean transform (SMT) in odd-dimension Euclidean space. In a recent work, a simpler description characterizing the range of…
A Unified Range Characterization for the Spherical mean transform
Pradipta Chatterjee, Nisha Singhal, Abhilash Tushir
In this article, we investigate the range characterization for the spherical mean transform (SMT) of functions supported in the unit ball. In earlier works, in the case of odd dime…
Explicit inversion of spherical Radon transforms in odd dimensions with partial radial data
Pradipta Chatterjee, Venkateswaran P. Krishnan, Abhilash Tushir
We derive an explicit inversion algorithm for the spherical Radon transform in odd dimensions with partial radial data. We prove that the reconstruction of the unknown function can…
Structurally damped semilinear evolution equation for positive operators on Hilbert space
Aparajita Dasgupta, Lalit Mohan, Abhilash Tushir
In this study, we analyze a semilinear damped evolution equation under different damping conditions, including the undamped , effectively damped , critically dampe…
Fractional semilinear damped wave equation on the Heisenberg group
Aparajita Dasgupta, Shyam Swarup Mondal, Abhilash Tushir
This paper aims to investigate the Cauchy problem for the semilinear damped wave equation for the fractional sub-Laplacian , on the Heisenberg…
Global well-posedness of space-time fractional diffusion equation with Rockland operator on graded Lie group
Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir
In this article, we examine the general space-time fractional diffusion equation for left-invariant hypoelliptic homogeneous operators on graded Lie groups. Our study covers import…
Time-fractional discrete diffusion equation for Schrödinger operator
Aparajita Dasgupta, Shyam Swarup Mondal, Michael Ruzhansky +1
This article aims to investigate the semi-classical analog of the general Caputo-type diffusion equation with time-dependent diffusion coefficient associated with the discrete Schr…
Discrete time-dependent wave equation for the Schrödinger operator with unbounded potential
Aparajita Dasgupta, Shyam Swarup Mondal, Michael Ruzhansky +1
In this article, we investigate the semiclassical version of the wave equation for the discrete Schrödinger operator, on t…
Discrete Heat Equation with irregular thermal conductivity and tempered distributional data
Marianna Chatzakou, Aparajita Dasgupta, Michael Ruzhansky +1
In this paper, we consider a semi-classical version of the nonhomogeneous heat equation with singular time-dependent coefficients on the lattice . We establish…
Discrete Time-Dependent Wave Equations II. Semiclassical Fractional Klein-Gordon Equation
Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir
In this paper, we consider a semiclassical version of the fractional Klein-Gordon equation on the lattice, Contrary to the Euclidean case that was considered in…
Discrete time-dependent wave equations I. Semiclassical analysis
Aparajita Dasgupta, Michael Ruzhansky, Abhilash Tushir
In this paper we consider a semiclassical version of the wave equations with singular Hölder time-dependent propagation speeds on the lattice . We allow the pr…