Content deleted Content added
→Proof: Fixed math formatting in the first line of the section. |
|||
Line 4:
In [[Gaussian units]], the general expression for [[Poisson's equation]] in [[electrostatics]] is
:<math>\mathbf{\nabla}\cdot(\epsilon\mathbf{\nabla}\varphi)= -4\pi\rho_f</math>
Here <math>\varphi</math> is the [[electric potential]] and <math>\mathbf{E}=-\mathbf{\nabla}\varphi</math> is the [[electric field]]. The uniqueness of the gradient of the solution (the uniqueness of the electric field) can be proven for a large class of boundary conditions in the following way.
| |||