Category

Harmonic functions

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Laplace's equation

second order partial differential equation

Laplace operator

divergence of the gradient

Cauchy–Riemann equations

system of linear partial differential equations characterizing holomorphic (complex differentiable) functions

harmonic function

function with vanishing Laplacian

Hilbert transform

integral transform and linear operator that takes a function of a real variable and produces another function of a real variable with a 90 degree phase shift

mathematical concept

Harnack's inequality

Dirichlet's principle

concept in potential theory

Harnack's principle

maximum principle

theorem that a harmonic function’s maximum can only be at the boundary of its domain

Newtonian potential

green's function for Laplacian

Schwarz reflection principle

mathematics principle in complex analysis

Mathematical equation

smooth map that is a critical point of the Dirichlet energy functional