Dirichlet problem

Suppose Ω is a domain of n and Ω is the boundary of Ω. Further suppose f is a function f:Ω. Then the Dirichlet problemMathworldPlanetmath is to find a function ϕ:ΩΩ such that

ϕ = f,on Ω,
2ϕ = 0,in Ω.
Title Dirichlet problem
Canonical name DirichletProblem
Date of creation 2013-03-22 14:57:06
Last modified on 2013-03-22 14:57:06
Owner matte (1858)
Last modified by matte (1858)
Numerical id 7
Author matte (1858)
Entry type Definition
Classification msc 31B05
Classification msc 31A05
Classification msc 31B15
Related topic HarmonicFunction