2 citations · 3 across the 10 of their papers we have counts for
12 papers
Growth of Fourier--Lebesgue norms for mKdV
Saikatul Haque, Rowan Killip, Monica Visan +1
We demonstrate inflation of Fourier--Lebesgue norms for solutions to the focusing modified Korteweg--de Vries equation posed on the real line. For and all $s\in \mathbb{R…
Global well-posedness and equicontinuity for mKdV in modulation spaces
Saikatul Haque, Rowan Killip, Monica Visan +1
We establish global well-posedness for both the defocusing and focusing complex-valued modified Korteweg--de Vries equations on the real line in modulation spaces $M_p^{s,2}(\mathb…
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})^…
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…
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…
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…
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…
Strichartz Estimates for Schr{ö}dinger equation with singular and time dependent Potential and Application to NLS
Saikatul Haque
We establish inhomogeneous Strichartz Estimates for the Schr{ö}dinger equation with singular and time dependent potentials for non-admissible pairs. Our work extends the results pr…
The Hartree and Hartree-Fock equations in Lebesgue and Fourier-Lebesgue spaces
Divyang G. Bhimani, Saikatul Haque
We establish some local and global well-posedness for Hartree-Fock equations of particles (HFP) with Cauchy data in Lebesgue spaces for . S…
A note on the optimal boundary regularity for the planar generalized -Poisson equation
Saikatul Haque
In this note, we establish sharp regularity for solutions to the following generalized - Poisson equation $$-\ div\ \big(\langle A\nabla u,\nabla u\rangle^{\frac{p-2}{2}}A\nabla…