41 citations · 56 across the 13 of their papers we have counts for
13 papers
The Cauchy-Dirichlet problem for parabolic deformed Hermitian-Yang-Mills equation
Liding Huang, Jiaogen Zhang
The purpose of this paper is to investigate the parabolic deformed Hermitian-Yang-Mills equation with hypercritical phase in a smooth domain . By using …
Fully non-linear parabolic equations on compact manifolds with a flat hyperkähler metric
Giovanni Gentili, Jiaogen Zhang
Our recent work about fully non-linear elliptic equations on compact manifolds with a flat hyperkähler metric is hereby extended to the parabolic setting. This approach will help u…
A new higher order Yang--Mills--Higgs flow in Riemannian -manifold
Hemanth Saratchandran, Jiaogen Zhang, Pan Zhang
Let be a closed Riemannian -manifold and let be a vector bundle over with structure group , where is a compact Lie group. In this paper, we consider a new…
Fully nonlinear elliptic equations on compact manifolds with a flat hyperKähler metric
Giovanni Gentili, Jiaogen Zhang
Mainly motivated by a conjecture of Alesker and Verbitsky, we study a class of fully non-linear elliptic equations on certain compact hyperhermitian manifolds. By adapting the appr…
Fully nonlinear elliptic equations with gradient terms on compact almost Hermitian manifolds
Liding Huang, Jiaogen Zhang
In this paper, we establish second order estimates for a general class of fully nonlinear equations with linear gradient terms on compact almost Hermitian manifolds. As an applicat…
Fully non-linear elliptic equations on compact almost Hermitian manifolds
Jianchun Chu, Liding Huang, Jiaogen Zhang
In this paper, we establish a priori estimates for solutions of a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we solve the…
A subsolution theorem for the Monge-Ampère equation over an almost Hermitian manifold
Jiaogen Zhang
Let be a bounded domain with a smooth boundary , where is a compact, almost Hermitian manifold. The main result of this paper is to consider the…
Monge-Ampère type equations on almost Hermitian manifolds
Jiaogen Zhang
In this paper, we consider the Monge-Ampère type equations on compact almost Hermitian manifolds. We derive a priori estimates under the existence of an admissible $\m…
The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds
Liding Huang, Jiaogen Zhang, Xi Zhang
In this paper, we consider the deformed Hermitian-Yang-Mills equation on closed almost Hermitian manifolds. In the case of hypercritical phase, we derive a priori estimates under t…
Realization of within the Differential Algebra on Quantum Symplectic Space
Jiao Zhang, Naihong Hu
We realize the Hopf algebra as an algebra of quantum differential operators on the quantum symplectic space and prove tha…
Rota-Baxter Coalgebras
Run-Qiang Jian, Jiao Zhang
We introduce the notion of Rota-Baxter coalgebra which can be viewed as the dual notion of Rota-Baxter algebra. We provide some concrete examples and establish various properties o…
Cyclic Homology of Strong Smash Product Algebras
Jiao Zhang, Naihong Hu
For any strong smash product algebra of two algebras and with a bijective morphism mapping from $B\ot A$ to $A\ot B$, we construct a cylindrical module $A\n…
Quantum Quasi-Shuffle Algebras
Run-Qiang Jian, Marc Rosso, Jiao Zhang
We establish some properties of quantum quasi-shuffle algebras. They include the necessary and sufficient condition for the construction of the quantum quasi-shuffle product, the u…