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The cauchy-dirichlet problem for parabolic deformed hermitian-yang-mills equation

Liding Huang,Jiaogen Zhang

Proceedings of the American Mathematical Society（2023）

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Abstract
The purpose of this paper is to investigate the parabolic deformed Hermitian-Yang-Mills equation with hypercritical phase in a smooth domain & omega; & SUB; Cn. 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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Key words
Deformed Hermitian-Yang-Mills equation,energy functional,heat,flow
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