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 2019Show all

3 papers · 1 filter

math.AP2019

The Blow-up solutions for fractional heat equations on torus and Euclidean space

Divyang G. Bhimani

We produce a finite time blow-up solution for nonlinear fractional heat equation ( $\partial_{t} u + (- Δ)^{β /2} u = u^{k}$ ) in modulation and Fourier amalgam spaces on the torus $\mathbb T…

math.AP2019

The Hartree and Hartree-Fock equations in Lebesgue $L^{p}$ and Fourier-Lebesgue $L^^{p}$ spaces

Divyang G. Bhimani, Saikatul Haque

We establish some local and global well-posedness for Hartree-Fock equations of $N$ particles (HFP) with Cauchy data in Lebesgue spaces $L^{p} \cap L^{2}$ for $1 \leq p \leq \infty$ . S…

math.AP2019

The Hartree-Fock equations in modulation spaces

Divyang G. Bhimani, Manoussos Grillakis, Kasso A. Okoudjou

We establish both a local and a global well-posedness theories for the nonlinear Hartree-Fock equations and its reduced analog in the setting of the modulation spaces on $\mathbb R…

The Blow-up solutions for fractional heat equations on torus and Euclidean space

The Hartree and Hartree-Fock equations in Lebesgue Lp and Fourier-Lebesgue L^p spaces

The Hartree-Fock equations in modulation spaces

The Hartree and Hartree-Fock equations in Lebesgue $L^{p}$ and Fourier-Lebesgue $L^^{p}$ spaces