Dirichlet problemSuppose Ω is a domain of ℝn and ∂Ω is the boundary of Ω.Further suppose f is a function f:∂Ω→ℂ. Then theDirichlet problem is to find a function ϕ:Ω∪∂Ω→ℂsuch thatϕ=f,on ∂Ω,∇2ϕ=0,in Ω.