Turkish Journal of Mathematics
Abstract
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.
DOI
10.3906/mat-1310-24
Keywords
Gradient estimates, porous medium type equation, smooth metric measure space, positive solution
First Page
985
Last Page
993
Recommended Citation
YIHUA, DENG
(2014)
"Gradient estimates for the porous medium type equation on smooth metric measure space,"
Turkish Journal of Mathematics: Vol. 38:
No.
6, Article 4.
https://doi.org/10.3906/mat-1310-24
Available at:
https://journals.tubitak.gov.tr/math/vol38/iss6/4
