论文标题

抛物线抛物性黑森州商方程的Neumann问题

The Neumann Problem for Parabolic Hessian Quotient Equations

论文作者

Chen, Chuanqiang, Ma, Xi-Nan, Zhang, Dekai

论文摘要

在本文中,我们考虑了抛物线抛物线Hessian商方程的Neumann问题。我们表明,抛物线抛物面商方程的$ k $ - 加热解决方案一直存在,并收敛到椭圆形的椭圆形商方程的平滑解决方案。经典Neumann问题的解决方案也会收敛到翻译解决方案。

In this paper, we consider the Neumann problem for parabolic Hessian quotient equations. We show that the $k$-admissible solution of the parabolic Hessian quotient equation exists for all time and converges to the smooth solution of elliptic Hessian quotient equations. Also the solutions of the classical Neumann problem converge to a translating solution.

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