*MONGE-Ampere equations, *DIFFERENTIAL equations, *ASYMPTOTIC theory of algebraic ideals, *PERTURBATION theory, *LEVEL set methods, *INFINITY (Mathematics)
Abstract
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. [ABSTRACT FROM AUTHOR]