Weak solution of Parabolic complex Monge-Amp\'ere equation II
Complex Variables
2019-11-26 v1
Abstract
We study the Parabolic complex Monge-Amp\'ere equation in a bounded strictly pseudoconvex domain in \mathbb{C}^n, with the boundary condition u=\varphi and the initial condition u=u_0. In this paper, we consider the case where \varphi is smooth and u_0 is an arbitrary plurisubharmonic function in a neighbourhood of \Omega satisfying u_0=\varphi(.,0) on the boundary of \Omega.
Cite
@article{arxiv.1605.01879,
title = {Weak solution of Parabolic complex Monge-Amp\'ere equation II},
author = {Hoang-Son Do},
journal= {arXiv preprint arXiv:1605.01879},
year = {2019}
}
Comments
15 pages