On a parabolic Monge–Ampère type equation on compact almost Hermitian manifolds

Abstract

We investigate a parabolic Monge–Ampère type equation on compact almost Hermitian manifolds and derive a priori gradient and second-order derivative estimates for solutions to this parabolic equation. These a priori estimates give us higher order estimates and a long-time solution. Then, we can observe its behavior as $t\to \infty$.