D. Bhimani

activity

20142026

most citedNorm inflation for nonlinear Schrodinger equations in Fourier-Lebesgue and modulation spaces of negative regularity

16 citations · 23 across the 34 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.FA2018★ 1 cited

Bimodal Wilson systems in $L^{2} (R)$

Divyang G. Bhimani, Kasso A. Okoudjou

Given a window $ϕ \in L^{2} (R),$ and lattice parameters $α, β > 0,$ we introduce a bimodal Wilson system $W (ϕ, α, β)$ consisting of linear combinations of at most two…

math.AP2018

Global Cauchy problems for the Klein-Gordon, wave and fractional Schrödinger equations with Hartree nonlinearity on modulation spaces

Divyang G. Bhimani

We study Cauchy problem for the Klein-Gordon (HNLKG), wave (HNLW) and Schrödinger (HNLS) equations with cubic convolution (Hartree type) nonlinearity. Some global well-posedness an…

math.AP2018★ 1 cited

The nonlinear Schrödinger equations with harmonic potential in modulation spaces

Divyang G. Bhimani

We study nonlinear Schrödinger $i \partial_{t} u - H u = F (u)$ (NLSH) equation associated to harmonic oscillator $H = - Δ + ∣ x ∣^{2}$ in modulation spaces $M^{p, q} .$ When $F(u)= (|x|^{-γ}\ast |u|^2…

math.AP2018

Global well-posedness for fractional Hartree equation on modulation spaces and Fourier algebra

Divyang G. Bhimani

We study the Cauchy problem for fractional Schrödinger equation with cubic convolution nonlinearity ( $i \partial_{t} u - (- Δ)^{\frac{α}{2}} u \pm (K * ∣ u ∣^{2}) u = 0$ ) with Cauchy data in…

Bimodal Wilson systems in L2(R)

Global Cauchy problems for the Klein-Gordon, wave and fractional Schrödinger equations with Hartree nonlinearity on modulation spaces

The nonlinear Schrödinger equations with harmonic potential in modulation spaces

Global well-posedness for fractional Hartree equation on modulation spaces and Fourier algebra

Bimodal Wilson systems in $L^{2} (R)$