Gradient estimates for a weighted parabolic equation under geometric flow

Shahroud Azami

Let $(M^n,g,e^{-\varphi }dv)$ be a weighted Riemannian manifold evolving by geometric flow $\frac{\partial g}{\partial t}=2h(t),\frac{\partial \varphi }{\partial t}=\Delta \varphi$. In this paper, w…