Parabolic Complex Monge-Ampère Type Equations on Closed Hermitian Manifolds

Abstract

We study the parabolic complex Monge-Ampère type equations on closed Hermitian manfolds. We derive uniform $C^{\infty }$ {\em a priori} estimates for normalized solutions, and then prove the $C^{\infty }$ convergence. The result also yields a way to carry out method of continuity for elliptic Monge-Ampére type equations.

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