16 citations · 23 across the 34 of their papers we have counts for
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The Global well-posedness for Klein-Gordon-Hartree equation in modulation spaces
Divyang G. Bhimani
Modulation spaces have received considerable interest recently as it is the natural function spaces to consider low regularity Cauchy data for several nonlinear evolution equations…
Remark on the ill-posedness for KdV-Burgers equation in Fourier amalgam spaces
Divyang G. Bhimani, Saikatul Haque
We have established (a weak form of) ill-posedness for the KdV-Burgers equation on a real line in Fourier amalgam spaces with . The particular case $p=q…
Factorizations for quasi-Banach time-frequency spaces and Schatten classes
Divyang Bhimani, Joachim Toft
We deduce factorization properties for a quasi-Banach module over a quasi-Banach algebra. Especially we extend a result by Hewitt and prove that if any such algebra which possess a…
Heat equations associated to harmonic oscillator with exponential nonlinearity
Divyang G. Bhimani, Mohamed Majdoub, Ramesh Manna
We investigate the Cauchy problem for a heat equation involving a fractional harmonic oscillator and an exponential nonlinearity. We establish local well-posedness within the appro…
The mixed fractional Hartree equations in Fourier amalgam and modulation spaces
Divyang G. Bhimani, Hichem Hajaiej, Saikatul Haque
We prove local and global well-posedness for mixed fractional Hartree equation and with low regularity Cauchy data in Fourier amalgam $\F W(L^p,\ell^q)$ and modulation sp…