6 papers · 1 filter
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 da…
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 Heisenber…
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…