Entire solutions to the parabolic Monge--Ampère equation with unbounded nonlinear growth in time

Ning An, Jiguang Bao, Zixiao Liu

The Liouville type theorem on the parabolic Monge--Ampère equation $-u_t\det D^{2}u=1$ states that any entire parabolically convex classical solution must be of form $-t+|x{|}^2/2$ up…