Asymptotic behavior on a kind of parabolic Monge-Ampère equation

In this paper, we apply level set and nonlinear perturbation methods to obtain the asymptotic behavior of the solution to a kind of parabolic Monge-Ampère equation at infinity. The Jörgens-Calabi-Pogorelov theorem for parabolic and elliptic Monge-Ampère equation can be regarded as special cases of our result.