Laplace equation

It belongs to the famous equations.

In the 3D case is

\frac{\partial^{2} f}{\partial x^{2}} + \frac{\partial^{2} f}{\partial y^{2}} + \frac{\partial^{2} f}{\partial z^{2}} = 0.

The operator

\frac{\partial^{2}}{\partial x^{2}} + \frac{\partial^{2}}{\partial y^{2}} + \frac{\partial^{2}}{\partial z^{2}}

is called the Laplacian operator.

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Author of the notes: Antonio J. Pan-Collantes

antonio.pan@uca.es

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