The Neumann Problem for Parabolic Hessian Quotient Equations
The Neumann Problem for Parabolic Hessian Quotient Equations
复制标题
抛物型 Hessian 商方程的诺依曼问题
DOI：
10.1007/s10114-021-0340-7
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发表时间：
2021
影响因子：
0.7
通讯作者：
Zhang De Kai
中科院分区：
文献类型：
--
作者：
Chen Chuan Qiang;Ma Xi Nan;Zhang De Kai
本文考虑抛物型Hessian商方程的Neumann问题。我们证明了抛物型Hessian商方程的k-容许解的存在性，并收敛于椭圆型Hessian商方程的光滑解。经典Neumann问题的解也收敛到一个平移解。
In this paper, we consider the Neumann problem for parabolic Hessian quotient equations. We show that thek-admissible solution of the parabolic Hessian quotient equation exists for all time and converges to the smooth solution of elliptic Hessian quotient equations. Also solutions of the classical Neumann problem converge to a translating solution.