Parabolic Complex Monge-Amp\`ere 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∞ a priori estimates for normalized solutions, and then prove the C∞ convergence. The result also yields a way to carry out method of continuity for elliptic Monge-Amp\'ere type equations.

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