Boundary conditions for Laplace's equation

Tags: boundary, conditions, equation, laplace
IFNT is offline
Feb3-11, 01:10 PM
P: 31
I don't seem to grasp the meaning of boundary conditions for Laplace's equation.

Consider the Lagendre expansion of the potential at x due to a unit charge 1/|x-x'|, where x' is the position of the unit point charge.
To do the expansion, we need to consider a volume in space where the potential satisfies the Laplace equation. I can see that the potential satisfies Laplaces equation anywhere in space except at x=x', but what are the boundary conditions? Don't we have to know the potential at x=x', which is a boundary?
Phys.Org News Partner Physics news on
Sensitive detection method may help impede illicit nuclear trafficking
CERN: World-record current in a superconductor
Beam on target: CEBAF accelerator achieves 12 GeV commissioning milestone
IFNT is offline
Feb4-11, 04:27 AM
P: 31
Am I too vague in my question?

Register to reply

Related Discussions
Laplace Eq with Dirichlet boundary conditions in 2D (solution check) Calculus & Beyond Homework 9
Boundary Conditions for infinite grounded cylinder (Laplace Equation) Advanced Physics Homework 3
Solve Laplace equation with boundary conditions Advanced Physics Homework 2
Boundary Conditions Laplace Aerospace Engineering 0