Optimal Asymptotic Behavior at Infinity of Ancient Solution to the Parabolic Monge-Amp\`ere Equation with Slow Perturbation Term
Abstract
In this paper, we obtain optimal asymptotic behavior of parabolically convex C2,1 solution to the parabolic Monge-Amp\`ere equation -ut Dx2u=f, where f converges to 1 at infinity with a slow rate. This result extends the elliptic estimate in lb5 to the parabolic setting.
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