论文标题
抛物线畸形的Hermitian-Yang-Mills方程的Cauchy-Dirichlet问题
The Cauchy-Dirichlet problem for parabolic deformed Hermitian-Yang-Mills equation
论文作者
论文摘要
本文的目的是研究平滑域中的抛物线变形的Hermitian-yang-mills方程,具有超临界相位$ω\ subset \ mathbb {c}^{n} $。通过使用$ J $功能,我们可以证明解决方案的收敛性。作为应用程序,我们为变形的Hermitian-yang-mills方程提供了详细的证据。
The purpose of this paper is to investigate the parabolic deformed Hermitian-Yang-Mills equation with hypercritical phase in a smooth domain $Ω\subset \mathbb{C}^{n}$. By using $J$-functional, we are able to prove the convergence of solutions. As an application, we give an alternative proof of the Dirichlet problem for deformed Hermitian-Yang-Mills equation.