4 citations · 6 across the 11 of their papers we have counts for
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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…
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…