7 papers
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…
Local Dispersive and Strichartz estimates for the Schrödinger equation associated to the Ornstein-Uhlenbeck operator
Aparajita Dasgupta, Uttam Kumar Dolai, Cheng Luo +1
In this paper we study the linear and nonlinear Schrödinger equations associated with the Ornstein-Uhlenbeck (OU) operator endowed with the Gaussian measure. While classical Stric…
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…
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…
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…