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Pluripotential solutions versus viscosity solutions to complex Monge–Ampère flows
Pure and Applied Mathematics Quarterly ( IF 0.7 ) Pub Date : 2021-06-01 , DOI: 10.4310/pamq.2021.v17.n3.a5
Vincent Guedj 1 , Chinh H. Lu 2 , Ahmed Zeriahi 1
Affiliation  

We compare various notions of weak subsolutions to degenerate complex Monge–Ampère flows, showing that they all coincide. This allows us to show that the viscosity solution coincides with the envelope of pluripotential subsolutions.

中文翻译:

复杂 Monge-Ampère 流的多电位解与粘度解

我们将弱子解的各种概念与退化复杂的 Monge-Ampère 流进行比较,表明它们都重合。这使我们能够证明粘度溶液与多势子溶液的包络一致。
更新日期:2021-06-14
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