16 citations · 23 across the 34 of their papers we have counts for
5 papers · 1 filter
Orthonormal Strichartz estimates on torus and waveguide manifold and applications
Divyang G. Bhimani, Subhash. R. Choudhary
We establish new orthonormal Strichartz estimates for the fractional Schrödinger equations on torus and waveguide manifold . We generaliz…
On the weighted Wiener-Lévy theorem: analogue on Euclidean space, strong converse on LCA group and applications to modulation spaces
Divyang G. Bhimani, Karishman B. Solanki
We consider the space (weighted Fourier algebra) of Banach algebra valued functions $A^q_ω(Γ,\cX),$ which consists of all Fourier transforms of functions in $L^q_ω(G,\cX)$. Here $ω…
Pointwise convergence to initial data of heat and Hermite-heat equations in Modulation Spaces
Divyang G. Bhimani, Rupak K. Dalai
We characterize weighted modulation spaces (data space) for which the heat semigroup converges pointwise to the initial data as time tends to zero. Here stan…
On 1D mass subcritical nonlinear Schr\''odinger and Hartree equations in modulation spaces
Divyang G. Bhimani, Diksha Dhingra, Vijay Kumar Sohani
We establish well-posedness theory for the 1D mass-subcritical nonlinear Schrödinger equation (NLS) having power-type nonlinearity in a certain modulation spaces $M^{p…
A unified framework for pointwise convergence to the initial data of heat equations in metric measure spaces
Divyang G. Bhimani, Anup Biswas, Rupak K. Dalai
Given a metric measure space satisfying the volume doubling condition, we consider a semigroup and the associated heat operator. We propose general…