Parabolic Flow for Generalized complex Monge-Ampère type equations

Abstract

We study the parabolic flow for generalized complex Monge-Ampère type equations on closed Hermitian manifolds. We derive {\em a priori} $C^{\infty }$ estimates for normalized solutions, and then prove the $C^{\infty }$ convergence.

References in corpus (3)

• On uniform estimate of complex elliptic equations on closed Hermitian manifolds
• On a class of fully nonlinear elliptic equations on Hermitian manifolds
• On a class of fully nonlinear elliptic equations on closed Hermitian manifolds II: $L^{\infty }$ estimate