Gradient estimates for a weighted nonlinear parabolic equation and applications

This paper derives elliptic gradient estimates for positive solutions to a nonlinear parabolic equation defined on a complete weighted Riemannian manifold. Applications of these estimates yield Liouville-type theorem, parabolic Harnack inequalities and bounds on weighted heat kernel on the lower bou...

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Bibliographic Details
Main Authors: Abolarinwa Abimbola, Oladejo Nathaniel K., Salawu Sulyman O.
Format: Article
Language:English
Published: De Gruyter 2020-10-01
Series:Open Mathematics
Subjects:
Online Access:https://doi.org/10.1515/math-2020-0077