Hamilton's gradient estimates of porous medium and fast diffusion equations

DOI10.1007/s10711-016-0201-1zbMath1378.35163OpenAlexW2533853684MaRDI QIDQ527588

Guangyue Huang, Bingqing Ma

Publication date: 12 May 2017

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-016-0201-1

zbMATH Keywords

fast diffusion equationgradient estimateporous medium equationLiouville-type theorem

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) A priori estimates in context of PDEs (35B45)

Related Items

Elliptic gradient estimates for a nonlinear equation with Dirichlet boundary condition ⋮ Gradient estimate for fast diffusion equations on Riemannian manifolds ⋮ Gradient estimates and Liouville type theorems for \((p-1)^{p-1}\Delta_pu+au^{p-1}\log u^{p-1}=0\) on Riemannian manifolds ⋮ Gradient estimates for a nonlinear elliptic equation on complete Riemannian manifolds ⋮ Elliptic gradient estimates for the doubly nonlinear diffusion equation ⋮ Some gradient estimates and Liouville properties of the fast diffusion equation on Riemannian manifolds ⋮ Hamilton's gradient estimates for a nonlinear partial differential equation under the Yamabe flow ⋮ Global gradient estimates for a general type of nonlinear parabolic equations

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