Gradient estimates for solutions of ∂_t u = Δ_p u^q are proved on manifolds with Ricci curvature bounded below, in both slow and fast diffusion regimes, under a uniform bound on |∇v|^{p-2} v.
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Gradient estimates for Leibenson's equation on Riemannian manifolds
Gradient estimates for solutions of ∂_t u = Δ_p u^q are proved on manifolds with Ricci curvature bounded below, in both slow and fast diffusion regimes, under a uniform bound on |∇v|^{p-2} v.