Harmonic Green and Neumann functions for domains bounded by two intersecting circular arcs
Abstract
The parqueting-reflection principle is shown to also work for constructing harmonic Green functions and harmonic Neumann functions for a class of domains, which are bounded by two arcs in C with a special intersecting angle π/n, n∈N*. Applying the Green representation formula and the Neumann representation formula we solve the Dirichlet and Neumann boundary problem to the Poisson equation in these domains.
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