Abstract

In this paper we investigate the properties of the classical Green function GD(•,•), i.e., the kernel function for the operator (− ∆/2)−1, in a domain D ⊂ R2, where D is a Jordan domain, namely, a bounded domain in R2 with the boundary ∂D which consists of finitely many disjoint Jordan curves. It is easy to see that any bounded Lipschitz domain in R2 is a Jordan domain.

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