2.11.3 - General remarks

A function that represents a solution of Laplace's equation has two properties:

1) It is twice continuously differentiable

2) Its second derivative is equal to the origin function, multiplied by a constant.

 

Generally you can formulate for the radial part:

This of course also applies to the angle part.

With the consequence that solution functions for the Laplace equation only trigonometric functions and e-functions are considered.

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