High-order Green Operators on the Disk and the Polydisc
Complex Variables
2012-05-16 v2
Abstract
In this paper, we give the explicit expressions of high-order Green operators on the disk and the polydisc, and hence the kernel functions of high-order Green operators are also presented. As applications, we present the explicit integral expressions of all the solutions for linear high-order partial differential equations in the disk.
Cite
@article{arxiv.1205.3055,
title = {High-order Green Operators on the Disk and the Polydisc},
author = {Yang Liu and Zhihua Chen and Yifei Pan},
journal= {arXiv preprint arXiv:1205.3055},
year = {2012}
}