25 citations · 27 across the 21 of their papers we have counts for
26 papers
Confinement effects for semilinear fractional Hermite heat equations with nonlinearities of arbitrarily rapid growth
Divyang G. Bhimani, Mohamed Majdoub, Ramesh Manna
We study the Cauchy problem for a semilinear heat equation driven by the fractional harmonic oscillator. We establish local and global well-posedness in Orlicz and Morse--Transue s…
Orthonormal Strichartz estimates for the Schrödinger equations with Hamiltonian on Wiener amalgam spaces
Ramesh Manna, Shyam Swarup Mondal, Sarthak Tiwari
The main objective of this paper is to investigate orthonormal Strichartz estimates for Schrödinger equation on the Wiener amalgam space . More p…
Hermite expansions of functions from the weighted Hardy class
Satyajyoti Achar, Manish Chaurasia, Ramesh Manna
In this paper, we analyze a function space consisting of functions for which both the function and its Fourier transform exhibit Gaussian decay together with exponential growth gov…
Heat equations associated to harmonic oscillator with exponential nonlinearity
Divyang G. Bhimani, Mohamed Majdoub, Ramesh Manna
We investigate the Cauchy problem for a heat equation involving a fractional harmonic oscillator and an exponential nonlinearity. We establish local well-posedness within the appro…
Multi-dimensional Bohr radii of Banach space valued holomorphic functions
Shankey Kumar, Ramesh Manna
In this article, we study the multi-dimensional Bohr radii of holomorphic functions defined on the Banach sequence spaces with values in the Banach spaces. For the case of finite d…
On heat equations associated with fractional harmonic oscillators
Divyang G. Bhimani, Ramesh Manna, Fabio Nicola +2
We establish some fixed-time decay estimates in Lebesgue spaces for the fractional heat propagator , , associated with the harmonic oscillator . We…