Local elliptic gradient estimates for a nonlinear parabolic equation under the Ricci flow.

In this study, we derive local elliptic (Hamilton type and Souplet–Zhang type) gradient estimates for positive solutions of the nonlinear parabolic partial differential equation (Δ t − ∂ t) u = q u + a u (ln ⁡ u) α under the Ricci flow. [ABSTRACT FROM AUTHOR]