Publications (7)
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…
Non-harmonic -elliptic pseudo differential operators on manifolds
Aparajita Dasgupta, Vishvesh Kumar, Lalit Mohan +1
In this article, we introduce and study -elliptic pseudo-differential operators in the framework of non-harmonic analysis of boundary value problems on a manifold with boun…
-Ellipticity of Fredholm Pseudo-Differential Operators on and GÃ¥rding's Inequality
Aparajita Dasgupta, Lalit Mohan
In this paper, we study the -ellipticity of Fredholm pseudo-differential operators associated with weighted symbols on , . We also prove the G…
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…
Multilinear Fourier Integral operators on modulation spaces
Aparajita Dasgupta, Lalit Mohan, Shyam Swarup Mondal
In this article, we study properties of multilinear Fourier integral operators on weighted modulation spaces. In particular, using the theory of Gabor frames, we study boundedness…
Weighted periodic and discrete Pseudo-Differential Operators
Aparajita Dasgupta, Lalit Mohan, Shyam Swarup Mondal
In this paper, we study elements of symbolic calculus for pseudo-differential operators associated with the weighted symbol class (asso…