Gradient estimates for the porous medium type equation on smooth metric measure space

The porous medium equation arises in different applications to model diffusive phenomena. In this paper, we obtain several gradient estimates for some porous medium type equations on smooth metric measure space with N-Bakry-Emery Ricci tensor bounded from below. In particular, we improve and generalize some current gradient estimates for the porous medium equations.

Anahtar Kelimeler:

Gradient estimates, porous medium type equation, smooth metric measure space, positive solution

Gradient estimates for the porous medium type equation on smooth metric measure space

Keywords:

Gradient estimates, porous medium type equation, smooth metric measure space, positive solution,

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