74 citations · 102 across the 16 of their papers we have counts for
4 papers · 1 filter
A gradient estimate for all positive solutions of the conjugate heat equation under Ricci flow
Shilong Kuang, Qi S. Zhang
We establish a point-wise gradient estimate for positive solutions of the conjugate heat equation. This contrasts to Perelman's point-wise gradient estimate which works mainl…
Some gradient estimates for the heat equation on domains and for an equation by Perelman
Qi S. Zhang
In the first part, we derive a sharp gradient estimate for the log of Dirichlet heat kernel and Poisson heat kernel on domains, and a sharpened local Li-Yau gradient estimate that…
Stationary Solutions of SPDEs and Infinite Horizon BDSDEs
Qi Zhang, Huaizhong Zhao
In this paper we study the existence of stationary solutions for stochastic partial differential equations. We establish a new connection between $L_ρ^2({\mathbb{R}^{d}};{\mathbb{R…
When does a Schrödinger heat equation permit positive solutions
Qi S. Zhang
We introduce some new classes of time dependent functions whose defining properties take into account of oscillations around singularities. We study properties of solutions to the…