Kui Yan

collaborators

3 papers

math.AP2026

A Liouville theorem for ancient solutions of the parabolic Monge-AmpÃ¨re equation with periodic data

Kui Yan, Jiguang Bao

This article is concerned with the parabolic Monge-AmpÃ¨re equation $- u_{t} det D_{x}^{2} u = f$ , where $f = f_{1} (x) f_{2} (t)$ and $f_{1}, f_{2}$ are positive periodic functions. We prove that any cla…

math.AP2026

Liouville theorem and sharp solvability for solutions of the parabolic Monge-AmpÃ¨re equation with periodic data

Kui Yan, Jiguang Bao

We prove a Liouville Theorem for ancient solutions of the parabolic Monge-AmpÃ¨re equation with smooth periodic data, generalizing Caffarelli-Li's result \cite{cl04} in 2004 to the…

math.AP2026

Optimal Asymptotic Behavior at Infinity of Ancient Solution to the Parabolic Monge-AmpÃ¨re Equation with Slow Perturbation Term

Kui Yan, Jiguang Bao

In this paper, we obtain optimal asymptotic behavior of parabolically convex $C^{2, 1}$ solution to the parabolic Monge-AmpÃ¨re equation $- u_{t} det D_{x}^{2} u = f$ , where $f$ converges to…