16 citations · 23 across the 34 of their papers we have counts for
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Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipovic and modulation spaces
Joachim Toft, Divyang Bhimani, Ramesh Manna
We show that harmonic oscillator propagators and fractional Fourier transforms are essentially the same. We deduce continuity properties and fix time estimates for such operators o…
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…
Strong ill-posedness for fractional Hartree and cubic NLS Equations
Divyang G. Bhimani, Saikatul Haque
We consider fractional Hartree and cubic nonlinear Schrödinger equations on Euclidean space and on torus . We establish norm inflation (a stronger phenom…