Methods and Applications of Analysis
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.
Mathematics | Physical Sciences and Mathematics
Yifei Pan (2014).
High-order Green operators on the disk and the polydisc. Methods and Applications of Analysis.21 (4), 441-456.