Differential Harnack estimate for a semilinear parabolic equation on hyperbolic space (Q894407)

In this paper, the authors obtain a differential Harnack estimate for a semilinear parabolic equation on hyperbolic space. We recall that in this context the Harnack inequalities are an essential tool to study bounds on Ricci gradient solitons and Hölder continuity. As applications of this estimate, they prove a blow-up theorem for this equation and integrate along space-time to derive a classical Harnack inequality.