Introduction to Electrodynamics · Problem 3.5

Potentials — David J. Griffiths

Physics · uniqueness-theorem-normal-derivative

Problem

Prove that the field is uniquely determined when the charge density ρ\rho is given and either VV or the normal derivative ∂V/∂n\partial V/\partial n is specified on each boundary surface. Do not assume the boundaries are conductors, or that VV is constant over any given surface.

Related theory

Browse the problem library