In this talk, I will discuss our work in which we prove that any convex viscosity solution of $\det D^2u=1$ outside a bounded domain of $\mathbb{R}^n_+$ tends to a quadratic polynomial at infinity with rate at least $\frac{x_n}{|x|^{n}}$ if $u$ is a quadratic polynomial on $\{x_n=0\}$ and satisfies $\mu|x|^2\leq u\leq\mu^{-1}|x|^2$ as $|x|\rightarrow\infty$ for some $0<\mu\leq\frac{1}{2}$.

报告人简介：

      李东升，现任西安交通大学数学与统计学院教授，博士生导师，陕西省数学会常务理事兼副秘书长。主要从事偏微分方程方面的研究，发表科研论文50余篇；主持4项国家自然科学基金；获陕西省科技进步二等奖两项。