3 papers
math.AP2026
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, \[\partial_tu -Îu+a|x|^{-2} u= |x|^γ F_α(u),\] where $a\ge-(\frac{d-2}{…
math.AP2025
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…
math.AP2025
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…