The Cauchy-Dirichlet problem for parabolic deformed Hermitian-Yang-Mills equation

Abstract

The purpose of this paper is to investigate the parabolic deformed Hermitian-Yang-Mills equation with hypercritical phase in a smooth domain $\Omega \subset {\mathbb{C}}^n$. 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.

arXiv comment13 pages, no figures. To appear Proc.Amer.Math.Soc