74 citations · 267 across the 68 of their papers we have counts for
6 papers · 1 filter
SPDEs with Polynomial Growth Coefficients and Malliavin Calculus Method
Qi Zhang, Huaizhong Zhao
In this paper we study the existence and uniqueness of the valued solution of backward doubly stochasti…
On a question of Demailly-Peternell-Schneider
Meng Chen, Qi Zhang
This note aims to give an affirmative answer to an open question posed by Demailly-Peternell-Schneider [DPS] in 2001 and recently by Peternell [P] again. Let be a su…
Semi-linear Degenerate Backward Stochastic Partial Differential Equations and Associated Forward Backward Stochastic Differential Equations
Kai Du, Qi Zhang
In this paper, we consider the Cauchy problem of semi-linear degenerate backward stochastic partial differential equations (BSPDEs in short) under general settings without technica…
Bounds on volume growth of geodesic balls under Ricci flow
Qi S. Zhang
We prove a so called non-inflating property for Ricci flow, which provides an upper bound for volume ratio of geodesic balls over Euclidean ones, under an upper bound for scala…
Extremal of Log Sobolev inequality and entropy on noncompact manifolds
Qi S. Zhang
Let $\M$ be a complete, connected noncompact manifold with bounded geometry. Under a condition near infinity, we prove that the Log Sobolev functional (\ref{logfanhan}) has an extr…
-Solution () of Linear Degenerate Backward Stochastic Partial Differential Equations in the Whole Space
Kai Du, Shanjian Tang, Qi Zhang
In this paper, we consider the backward Cauchy problem of linear degenerate stochastic partial differential equations. We obtain the existence and uniqueness results in Sobolev spa…