Hamilton-Type Gradient Estimates for Porous Medium and Fast Diffusion Equations on Riemannian Manifolds for all exponents
Year: 2026
Type: preprint
Abstract: We establish local Hamilton-type gradient estimates for positive $C^{2,1}$ solutions of $u_t=Δu^m$ on complete Riemannian manifolds whose Ricci curvature is bounded from below. For every fixed $m>1$ and every fixed $00$ and $C=C(m,n)>0$ such that a solution $0
Source: arXiv (Cornell University)
Authors: Sun, Jun, Yang, Jiaming
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G1974835814, G2150776504
OpenAlex ID: W7214641341