Yuanyang Hu

collaborators

2 papers

math.AP2025

$L^{p}$ - $L^{q}$ estimates of the heat kernels on graphs with applications to a parabolic system

Yuanyang Hu

Let $G = (V, E)$ be a locally finite connected graph satisfying curvature-dimension conditions ( $C D E (n, 0)$ or its strengthened version $C D E^{'} (n, 0))$ ) and polynomial volume growth co…

math.AP2024

Life span of solutions to a semilinear parabolic equation on locally finite graphs

Yuanyang Hu, Mingxin Wang

Let $G = (V, E)$ be a locally finite connected graph. We develop the first eigenvalue method on $G$ introduced in 1963 by Kaplan \cite{Kaplan} on Euclidean space, the discrete Phragmé…

Lp-Lq estimates of the heat kernels on graphs with applications to a parabolic system

Life span of solutions to a semilinear parabolic equation on locally finite graphs

$L^{p}$ - $L^{q}$ estimates of the heat kernels on graphs with applications to a parabolic system