A fundamental solution for the Laplace operator in a doubly connected domain
José Luis Vergara-Ibarra, Carmen Judith Vanegas · DOAJ (DOAJ: Directory of Open Access Journals) · 2021
In this work, we find a harmonic Green function for a doubly connected domain using the theory of conformal mappings and then we define a Poisson kernel. Using these functions an integral representation formula for the solution of the Dirichlet problem for the Poisson equation is derived.