1 citations · 2 across the 8 of their papers we have counts for
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On inhomogeneous heat equation with inverse square potential
Divyang G. Bhimani, Saikatul Haque
We study inhomogeneous heat equation with inverse square potential, namely, \[\partial_tu + \mathcal{L}_a u= \pm |\cdot|^{-b} |u|^αu,\] where We est…
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…
Norm inflation for BBM equation in Fourier amalgam and Wiener amalgam spaces with negative regularity
Divyang G. Bhimani, Saikatul Haque
We consider Benjamin-Bona-Mahony (BBM) equation of the form where or …
Norm inflation with infinite loss of regularity at general initial data for nonlinear wave equations in Wiener amalgam and Fourier amalgam spaces
Divyang G. Bhimani, Saikatul Haque
We study the strong ill-posedness (norm inflation with infinite loss of regularity) for the nonlinear wave equation at every initial data in Wiener amalgam and Fourier amalgam spac…
Norm inflation for nonlinear Schrodinger equations in Fourier-Lebesgue and modulation spaces of negative regularity
Divyang G. Bhimani, Rémi Carles
We consider nonlinear Schr{ö}dinger equations in Fourier-Lebesgue and modulation spaces involving negative regularity. The equations are posed on the whole space, and involve a smo…
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…