Second-Order Gradient Estimates for the Porous Medium Equation on Riemannian Manifolds
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DOI: 10.3390/math13101683
Abstract: In this paper, we derive second-order gradient estimates for positive solutions of the porous medium equation ∂∂tu(x,t)=Δu(x,t)p,p∈1,1+1n−1 on an n-dimensional Riemannian manifold under certain curvature conditions. read more here.
Keywords: gradient estimates; medium equation; porous medium; order gradient ... See more keywords