A gradient estimate is proved for the parabolic PDE on warping functions that arises as the evolution condition for warped metrics under the Ricci-Bourguignon flow.
On the parabolic kernel of the Schr¨ odinger operator.Acta Mathe- matica, 156(1):153–201
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Gradient estimates for a parabolic partial differential equation under the Ricci-Bourguignon flow
A gradient estimate is proved for the parabolic PDE on warping functions that arises as the evolution condition for warped metrics under the Ricci-Bourguignon flow.