Hamilton type gradient estimates for a general type of nonlinear parabolic equations on Riemannian manifolds

$ (\Delta_{V}-q(x, t)-\partial_{t})u(x, t) = A(u(x, t)) $ on complete Riemannian manifold (with fixed metric). When $ V = 0 $ and the metric evolves under the geometric flow, we also derive some Hamilton type gradient estimates. Finally, as applications, we obtain some Liouville type theorems o...

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Bibliographic Details
Main Author: Fanqi Zeng
Format: Article
Language:English
Published: AIMS Press 2021-07-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2021610?viewType=HTML