Viscosity solutions to parabolic complex Monge-Amp\`ere equations
Complex Variables
2019-11-26 v2
Abstract
In this paper, we study the Cauchy-Dirichlet problem for Parabolic complex Monge-Amp\`ere equations on a strongly pseudoconvex domain by the viscosity method. We extend the results in [EGZ15b] on the existence of solution and the convergence at infinity. We also establish the H\"older regularity of the solutions when the Cauchy-Dirichlet data are H\"older continuous.
Cite
@article{arxiv.1905.11818,
title = {Viscosity solutions to parabolic complex Monge-Amp\`ere equations},
author = {Hoang-Son Do and Giang Le and Tat Dat Tô},
journal= {arXiv preprint arXiv:1905.11818},
year = {2019}
}
Comments
35 pages. arXiv admin note: text overlap with arXiv:1407.2494 by other authors