16 citations · 23 across the 34 of their papers we have counts for
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Fractional nonlinear Schrödinger and Hartree equations in modulation spaces
Divyang G. Bhimani, Diksha Dhingra, Vijay Kumar Sohani
We establish global well-posedness for the mass subcritical nonlinear fractional Schrödinger equation having radial initial data in modulation sp…
Low-regularity global solution of the inhomogeneous nonlinear Schrödinger equations in modulation spaces
Divyang G. Bhimani, Diksha Dhingra, Vijay Kumar Sohani
The study of low regularity Cauchy data for nonlinear dispersive PDEs has successfully been achieved using modulation spaces in recent years. In this paper, we study the…
On the Hardy-Hénon heat equation with an inverse square potential
Divyang G. Bhimani, Saikatul Haque, Masahiro Ikeda
We study Cauchy problem for the Hardy-Hénon parabolic equation with an inverse square potential, namely, \[\partial_tu -Δu+a|x|^{-2} u= |x|^γ F_α(u),\] where $a\ge-(\frac{d-2}{2})^…
Pointwise convergence for the heat equation on tori and waveguide manifold
Divyang G. Bhimani, Rupak K. Dalai
We completely characterize the weighted Lebesgue spaces on the torus and waveguide manifold for which the solutions of the heat equat…