Green Functions and Conditioned Gauge Theorem for a 2-Dimensional Domain
Zhongxin Zhao · Birkhäuser Boston eBooks · 1988
In this paper we investigate the properties of the classical Green function G D (•,•), i.e., the kernel function for the operator (− ∆/2) −1 , in a domain D ⊂ R 2 , where D is a Jordan domain, namely, a bounded domain in R 2 with the boundary ∂D which consists of finitely many disjoint Jordan curves. It is easy to see that any bounded Lipschitz domain in R 2 is a Jordan domain.