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.
Gradient estimates for the heat equation under the Ricci flow.Journal of Functional Analysis, 258(10):3517–3542
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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.