Well-posedness and global existence for Hardy--Hénon parabolic equations in Herz spaces

Douadi Drihem

In this paper, we study the Hardy-Hénon parabolic equation \begin{equation*} \partial_t u=Δu+a|x|^{-γ}|u|^βu, \qquad t>0,\; x\in\mathbb{R}^{n}\setminus\{0\}, \quad β>0,\; a\in\math…