6 citations · 16 across the 21 of their papers we have counts for
5 papers · 2 filters
Non-harmonic analysis of the wave equation for Schrödinger operators with complex potential
Aparajita Dasgupta, Lalit Mohan, Shyam Swarup Mondal
This article investigates the wave equation for the Schrödinger operator on , denoted as , where is the standard Laplacian and is a com…
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…
Higher order hypoelliptic damped wave equations on graded Lie groups with data from negative order Sobolev spaces
Aparajita Dasgupta, Vishvesh Kumar, Shyam Swarup Mondal +1
Let be a graded Lie group with homogeneous dimension . In this paper, we study the Cauchy problem for a semilinear hypoelliptic damped wave equation involving a posi…
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…
Semilinear damped wave equations on the Heisenberg group with initial data from Sobolev spaces of negative order
Aparajita Dasgupta, Vishvesh Kumar, Shyam Swarup Mondal +1
In this paper, we focus on studying the Cauchy problem for semilinear damped wave equations involving the sub-Laplacian on the Heisenberg group with po…