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

Huang, Liding, Zhang, Jiaogen

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.

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