A fundamental solution for the Laplace operator in a doubly connected domain
Résumé
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.
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CompAMa-2021-004-IIICICB-Vergara-Vanegas-Accepted20211120.pdf (549.71 Ko)
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