Gradient estimates of a general porous medium equation for the V-Laplacian
2020 年 43 巻 1 号 p. 16-41
詳細
2020 年 43 巻 1 号 p. 16-41
In this paper, we consider the gradient estimates for the positive solutions to the following porous medium equation
ut = ΔVum,
where m > 1. We obtain Li-Yau type bounds of the above equation on Riemannian manifolds with Bakry-Emery type curvature bounded from below, which improves the estimates in [25] and covers the ones in [22, 18, 19, 27].
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