3 citations · 7 across the 6 of their papers we have counts for
7 papers
Large time behavior of heat kernels on forms
Thierry Coulhon, Qi S. Zhang
We derive large time upper bounds for heat kernels on vector bundles of differential forms on a class of non-compact Riemannian manifolds under certain curvature conditions.
Sharp gradient estimate and Yau's Liouville theorem for the heat equation on noncompact manifolds
Philippe Souplet, Qi S. Zhang
We derive a sharp, localized version of elliptic type gradient estimates for positive solutions (bounded or not) to the heat equation. These estimates are akin to the Cheng-Yau est…
On projective varieties with nef anticanonical divisors
Qi Zhang
We prove a structure theorem for projective varieties with nef anticanonical divisors.
Rational connectedness of log -Fano varieties
Qi Zhang
In this paper, we give an affirmative answer to a conjecture in the Minimal Model Program. We prove that log -Fano varieties of dim are rationally connected. We also study t…
Finite time blow up for critical wave equations in high dimensions
Borislav T. Yordanov, Qi S. Zhang
We prove that solutions to the critical wave equation below can not be global if the initial values are positive somewhere and nonnegative. This completes the solution to the famou…
Holomorphic forms on threefolds
Tie Luo, Qi Zhang
Two conjectures relating the Kodaira dimension of a smooth projective variety and existence of number of nowhere vanishing 1-forms on the variety are proposed and verified in dimen…