Parabolic Complex Monge-Ampère Type Equations on Closed Hermitian Manifolds

Abstract: We study the parabolic complex Monge-Amp`ere 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-Amp\'ere type equations.