The solution of the dbar-Neumann problem on non-smooth model domains.
Dariush Ehsani · Deep Blue (University of Michigan) · 2001
We study the solution of the 6 &d1; -Neumann problem on (0,1)-forms on the model domains the product of two half-planes and the bi-disc contained in C2 . In particular, we show on the product of two half-planes the solution can be decomposed into functions smooth up to the boundary and functions which are singular at the singular points of the boundary. Furthermore, we show the singular functions are log and arctan terms. On the bi-disc we show the solution also exhibits singular behavior in some cases.