The parabolic Monge-Ampere equation on compact almost Hermitian manifolds

We prove the long time existence and uniqueness of solutions to the parabolic Monge-Ampere equation on compact almost Hermitian manifolds. We also show that the normalization of solution converges to a smooth function in C-infinity topology as t -> infinity. Up to scaling, the limit function is a solution of the Monge-Ampere equation. This gives a parabolic proof of existence of solutions to the Monge-Ampere equation on almost Hermitian manifolds.