多次复 Monge-Ampère 流的上位势解与粘性解之比较
复变函数
2019-09-17 v1 偏微分方程分析
微分几何
摘要
我们比较退化复 Monge-Ampère 流的各种弱子解概念，证明它们均一致。这使我们能够表明粘性解与多次上位势子解包络相重合。谨以此文献给 Duong Hong Phong 以庆贺其 65 岁生日。
关键词
引用
@article{arxiv.1909.07069,
title = {Pluripotential solutions versus viscosity solutions to complex Monge-Amp{\`e}re flows},
author = {Vincent Guedj and Chinh H. Lu and Ahmed Zeriahi},
journal= {arXiv preprint arXiv:1909.07069},
year = {2019}
}
备注
To appear in Pure and Applied Mathematics Quarterly