Pluripotential solutions versus viscosity solutions to complex Monge-Amp{\`e}re flows
Complex Variables
2019-09-17 v1 Analysis of PDEs
Differential Geometry
Abstract
We compare various notions of weak subsolutions to degenerate complex Monge-Amp{\`e}re flows, showing that they all coincide. This allows us to show that the viscosity solution coincides with the envelope of pluripotential subsolutions. Dedicated to Duong Hong Phong on the occasion of his 65th birthday.
Cite
@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}
}
Comments
To appear in Pure and Applied Mathematics Quarterly