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 ${\mathcal{L}}_a=-\Delta +a|x{|}^{-2}.$ We est…