English

Weak solutions to degenerate complex Monge-Amp\'ere flows I

Complex Variables 2014-07-10 v1 Analysis of PDEs

Abstract

Studying the (long-term) behavior of the K\"ahler-Ricci flow on mildly singular varieties, one is naturally lead to study weak solutions of degenerate parabolic complex Monge-Amp\'ere equations. The purpose of this article, the first of a series on this subject, is to develop a viscosity theory for degenerate complex Monge-Amp\`ere flows in domains of \Cn\C^n.

Keywords

Cite

@article{arxiv.1407.2494,
  title  = {Weak solutions to degenerate complex Monge-Amp\'ere flows I},
  author = {Philippe Eyssidieux and Vincent Guedj and Ahmed Zeriahi},
  journal= {arXiv preprint arXiv:1407.2494},
  year   = {2014}
}
R2 v1 2026-06-22T04:59:36.637Z